diff --git a/docs/handlers.rst b/docs/handlers.rst
index 5703ccb..4e7dcaa 100644
--- a/docs/handlers.rst
+++ b/docs/handlers.rst
@@ -235,24 +235,25 @@ partials (`functools.partial`), or the inner functions in the closures:
         - item1
         - item2
 
-Sub-handlers can be implemented either imperatively::
+Sub-handlers can be implemented either imperatively
+(where it requires :doc:`asynchronous handlers <async>` and ``async/await``)::
 
     import functools
     import kopf
 
     @kopf.on.create('zalando.org', 'v1', 'kopfexamples')
-    def create_fn(spec, **_):
+    async def create_fn(spec, **_):
         fns = {}
 
         for item in spec.get('items', []):
             fns[item] = functools.partial(handle_item, item=item)
 
-       kopf.execute(fns)
+       await kopf.execute(fns=fns)
 
     def handle_item(item, *, spec, **_):
         pass
 
-Or decoratively::
+Or declaratively with decorators::
 
     import kopf
 
@@ -261,9 +262,8 @@ Or decoratively::
 
         for item in spec.get('items', []):
 
-            @kopf.on.this(id=item)
+            @kopf.subhandler(id=item)
             def handle_item(item=item, **_):
-
                 pass
 
 Both of these ways are equivalent.
diff --git a/docs/idempotence.rst b/docs/idempotence.rst
index 22d396d..325e50b 100644
--- a/docs/idempotence.rst
+++ b/docs/idempotence.rst
@@ -4,8 +4,8 @@ Idempotence
 
 Kopf provides tools to make the handlers idempotent.
 
-`kopf.register` function and `kopf.on.this` decorator allow to schedule
-arbitrary sub-handlers for the execution in the current cycle.
+The `kopf.register` function and the `kopf.subhandler` decorator allow
+to schedule arbitrary sub-handlers for the execution in the current cycle.
 
 `kopf.execute` coroutine executes arbitrary sub-handlers
 directly in the place of invocation, and returns when all they have succeeded.
diff --git a/examples/07-subhandlers/example.py b/examples/07-subhandlers/example.py
index 3314372..2d6d7d8 100644
--- a/examples/07-subhandlers/example.py
+++ b/examples/07-subhandlers/example.py
@@ -6,6 +6,6 @@ def create_fn(spec, **kwargs):
 
     for item in spec.get('items', []):
 
-        @kopf.on.this(id=item)
+        @kopf.subhandler(id=item)
         async def create_item_fn(item=item, **kwargs):
             print(f"=== Handling creation for {item}. ===")
diff --git a/kopf/__init__.py b/kopf/__init__.py
index 1e6c1a8..ead0560 100644
--- a/kopf/__init__.py
+++ b/kopf/__init__.py
@@ -31,12 +31,11 @@ from kopf.engines.posting import (
     exception,
 )
 from kopf.on import (
+    subhandler,
+    register,
     daemon,
     timer,
 )
-from kopf.on import (
-    register,
-)
 from kopf.reactor import (
     lifecycles,  # as a separate name on the public namespace
 )
diff --git a/kopf/on.py b/kopf/on.py
index 8604e12..4472237 100644
--- a/kopf/on.py
+++ b/kopf/on.py
@@ -418,9 +418,7 @@ def timer(  # lgtm[py/similar-function]
     return decorator
 
 
-# TODO: find a better name: `@kopf.on.this` is confusing and does not fully
-# TODO: match with the `@kopf.on.{cause}` pattern, where cause is create/update/delete.
-def this(  # lgtm[py/similar-function]
+def subhandler(  # lgtm[py/similar-function]
         *,
         id: Optional[str] = None,
         errors: Optional[handlers.ErrorsMode] = None,
@@ -434,7 +432,7 @@ def this(  # lgtm[py/similar-function]
         when: Optional[callbacks.WhenFilterFn] = None,
 ) -> ResourceChangingDecorator:
     """
-    ``@kopf.on.this()`` decorator for the dynamically generated sub-handlers.
+    ``@kopf.subhandler()`` decorator for the dynamically generated sub-handlers.
 
     Can be used only inside of the handler function.
     It is efficiently a syntax sugar to look like all other handlers::
@@ -444,9 +442,8 @@ def this(  # lgtm[py/similar-function]
 
             for task in spec.get('tasks', []):
 
-                @kopf.on.this(id=f'task_{task}')
+                @kopf.subhandler(id=f'task_{task}')
                 def create_task(*, spec, task=task, **kwargs):
-
                     pass
 
     In this example, having spec.tasks set to ``[abc, def]``, this will create
@@ -517,11 +514,11 @@ def register(  # lgtm[py/similar-function]
         def create_it(spec, **kwargs):
             for task in spec.get('tasks', []):
 
-                @kopf.on.this(id=task)
+                @kopf.subhandler(id=task)
                 def create_single_task(task=task, **_):
                     pass
     """
-    decorator = this(
+    decorator = subhandler(
         id=id, registry=registry,
         errors=errors, timeout=timeout, retries=retries, backoff=backoff, cooldown=cooldown,
         labels=labels, annotations=annotations, when=when,
@@ -529,6 +526,10 @@ def register(  # lgtm[py/similar-function]
     return decorator(fn)
 
 
+# DEPRECATED: for backward compatibility, the original name of @kopf.on.this() is kept.
+this = subhandler
+
+
 def _warn_deprecated_signatures(
         fn: Callable[..., Any],
 ) -> None:
diff --git a/kopf/reactor/handling.py b/kopf/reactor/handling.py
index 2c5fb86..c814c26 100644
--- a/kopf/reactor/handling.py
+++ b/kopf/reactor/handling.py
@@ -50,7 +50,7 @@ class HandlerChildrenRetry(TemporaryError):
 
 
 # The task-local context; propagated down the stack instead of multiple kwargs.
-# Used in `@kopf.on.this` and `kopf.execute()` to add/get the sub-handlers.
+# Used in `@kopf.subhandler` and `kopf.execute()` to add/get the sub-handlers.
 sublifecycle_var: ContextVar[Optional[lifecycles.LifeCycleFn]] = ContextVar('sublifecycle_var')
 subregistry_var: ContextVar[registries.ResourceChangingRegistry] = ContextVar('subregistry_var')
 subsettings_var: ContextVar[configuration.OperatorSettings] = ContextVar('subsettings_var')
@@ -77,7 +77,7 @@ async def execute(
 
     If no explicit functions or handlers or registry are passed,
     the sub-handlers of the current handler are assumed, as accumulated
-    in the per-handler registry with ``@kopf.on.this``.
+    in the per-handler registry with ``@kopf.subhandler``.
 
     If the call to this method for the sub-handlers is not done explicitly
     in the handler, it is done implicitly after the handler is exited.
@@ -137,7 +137,7 @@ async def execute(
     elif subexecuted_var.get():
         return
 
-    # If no explicit args were passed, implicitly use the accumulated handlers from `@kopf.on.this`.
+    # If no explicit args were passed, use the accumulated handlers from `@kopf.subhandler`.
     else:
         subexecuted_var.set(True)
         subregistry = subregistry_var.get()
@@ -336,7 +336,7 @@ async def invoke_handler(
 
     Ensure the global context for this asyncio task is set to the handler and
     its cause -- for proper population of the sub-handlers via the decorators
-    (see `@kopf.on.this`).
+    (see `@kopf.subhandler`).
     """
 
     # For the field-handlers, the old/new/diff values must match the field, not the whole object.
@@ -349,7 +349,7 @@ async def invoke_handler(
         diff = diffs.reduce(cause.diff, handler.field)
         cause = causation.enrich_cause(cause=cause, old=old, new=new, diff=diff)
 
-    # Store the context of the current resource-object-event-handler, to be used in `@kopf.on.this`,
+    # Store the context of the current handler, to be used in `@kopf.subhandler`,
     # and maybe other places, and consumed in the recursive `execute()` calls for the children.
     # This replaces the multiple kwargs passing through the whole call stack (easy to forget).
     with invocation.context([

diff --git a/tests/registries/test_decorators.py b/tests/registries/test_decorators.py
index bc824ac..fd110bb 100644
--- a/tests/registries/test_decorators.py
+++ b/tests/registries/test_decorators.py
@@ -425,7 +425,7 @@ def test_subhandler_fails_with_no_parent_handler():
 
     # Check the actual behaviour of the decorator.
     with pytest.raises(LookupError):
-        @kopf.on.this()
+        @kopf.subhandler()
         def fn(**_):
             pass
 
@@ -437,7 +437,7 @@ def test_subhandler_declaratively(parent_handler, cause_factory):
     subregistry_var.set(registry)
 
     with context([(handler_var, parent_handler)]):
-        @kopf.on.this()
+        @kopf.subhandler()
         def fn(**_):
             pass
 
diff --git a/tests/registries/test_subhandlers_ids.py b/tests/registries/test_subhandlers_ids.py
index 92a4c82..7a4ec4a 100644
--- a/tests/registries/test_subhandlers_ids.py
+++ b/tests/registries/test_subhandlers_ids.py
@@ -15,7 +15,7 @@ def test_with_no_parent(
     registry = resource_registry_cls()
 
     with context([(handler_var, None)]):
-        kopf.on.this(registry=registry)(child_fn)
+        kopf.subhandler(registry=registry)(child_fn)
 
     handlers = registry.get_handlers(cause)
     assert len(handlers) == 1
@@ -30,7 +30,7 @@ def test_with_parent(
     registry = resource_registry_cls()
 
     with context([(handler_var, parent_handler)]):
-        kopf.on.this(registry=registry)(child_fn)
+        kopf.subhandler(registry=registry)(child_fn)
 
     handlers = registry.get_handlers(cause)
     assert len(handlers) == 1

Add more readable @kopf.subhandler instead of @kopf.on.this/kopf.register
## Background

A long time ago, when Kopf was only prototyped, sub-handlers were implemented via `@kopf.on.this()` decorator. The logic was so that if we all other handlers as `@kopf.on.{something}`, sub-handler should be also declared to be triggered "on" something, and keep sub-handlers declarative. That naming turned to be highly confusing, and so a more imperative way was introduced: `kopf.register()` function (not a decorator). And also even more imperative way: `await kopf.execute()` function.

Much later, daemons and timers were added as `@kopf.daemon` and `@kopf.timer`, because they could not be expressed with the "on-something" expression (the timers could be "on-schedule", but the daemons definitely could not be named that way).

And so, the "on-something" semantics was already violated. 

## Proposal

It makes no sense to keep it as `@kopf.on.this` anymore. Why not make it `@kopf.subhandler`, and return the good old declarative way of declaring the sub-handlers — in addition to the existing imperative ways?


## Example

```python
import kopf

@kopf.on.creation('kopfexamples')
def create_fn(name, **_):

    for i in range(5):

        @kopf.subhandler(id=str(i))
        def sub_fn(i=i, **_):
            print(f"{name}: {i}")
```

Looks more readable than `@kopf.on.this()`.


## Side-changes

Also, consider `@kopf.sub()` as a shortcut.

Also, consider adding the on-creation/on-deletion aliases for the existing on-create/on-delete decorators — for English readability.

However, the aliases go against Python Zen:

```
There should be one-- and preferably only one --obvious way to do it.
```
tests/registries/test_decorators.py::test_subhandler_fails_with_no_parent_handler tests/registries/test_decorators.py::test_subhandler_declaratively tests/registries/test_subhandlers_ids.py::test_with_no_parent[resource-watching-registry] tests/registries/test_subhandlers_ids.py::test_with_no_parent[resource-changing-registry] tests/registries/test_subhandlers_ids.py::test_with_no_parent[simple-registry] tests/registries/test_subhandlers_ids.py::test_with_parent[resource-watching-registry] tests/registries/test_subhandlers_ids.py::test_with_parent[resource-changing-registry] tests/registries/test_subhandlers_ids.py::test_with_parent[simple-registry]
tests/registries/test_decorators.py::test_on_startup_minimal tests/registries/test_decorators.py::test_on_cleanup_minimal tests/registries/test_decorators.py::test_on_probe_minimal tests/registries/test_decorators.py::test_on_resume_minimal[create] tests/registries/test_decorators.py::test_on_resume_minimal[update] tests/registries/test_decorators.py::test_on_resume_minimal[delete] tests/registries/test_decorators.py::test_on_resume_minimal[resume] tests/registries/test_decorators.py::test_on_create_minimal tests/registries/test_decorators.py::test_on_update_minimal tests/registries/test_decorators.py::test_on_delete_minimal tests/registries/test_decorators.py::test_on_field_minimal tests/registries/test_decorators.py::test_on_field_fails_without_field tests/registries/test_decorators.py::test_on_startup_with_all_kwargs tests/registries/test_decorators.py::test_on_cleanup_with_all_kwargs tests/registries/test_decorators.py::test_on_probe_with_all_kwargs tests/registries/test_decorators.py::test_on_resume_with_all_kwargs[create] tests/registries/test_decorators.py::test_on_resume_with_all_kwargs[update] tests/registries/test_decorators.py::test_on_resume_with_all_kwargs[delete] tests/registries/test_decorators.py::test_on_resume_with_all_kwargs[resume] tests/registries/test_decorators.py::test_on_create_with_all_kwargs tests/registries/test_decorators.py::test_on_update_with_all_kwargs tests/registries/test_decorators.py::test_on_delete_with_all_kwargs[optional] tests/registries/test_decorators.py::test_on_delete_with_all_kwargs[mandatory] tests/registries/test_decorators.py::test_on_field_with_all_kwargs tests/registries/test_decorators.py::test_subhandler_imperatively tests/registries/test_decorators.py::test_labels_filter_with_nones[event-kwargs0] tests/registries/test_decorators.py::test_labels_filter_with_nones[resume-kwargs1] tests/registries/test_decorators.py::test_labels_filter_with_nones[create-kwargs2] tests/registries/test_decorators.py::test_labels_filter_with_nones[update-kwargs3] tests/registries/test_decorators.py::test_labels_filter_with_nones[delete-kwargs4] tests/registries/test_decorators.py::test_labels_filter_with_nones[field-kwargs5] tests/registries/test_decorators.py::test_annotations_filter_with_nones[event-kwargs0] tests/registries/test_decorators.py::test_annotations_filter_with_nones[resume-kwargs1] tests/registries/test_decorators.py::test_annotations_filter_with_nones[create-kwargs2] tests/registries/test_decorators.py::test_annotations_filter_with_nones[update-kwargs3] tests/registries/test_decorators.py::test_annotations_filter_with_nones[delete-kwargs4] tests/registries/test_decorators.py::test_annotations_filter_with_nones[field-kwargs5]