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For the sake of completeness and the convenience of the reader, we also show that both the definitions coincide in the amenable case.
For the convenience of the reader, we give a self-contained proof of this transference principle, which generalizes the well-known Coifman Weiss principle.
For convenience of the reader, it is included here.
For convenience of the reader, we list here some notations.
We provide a proof for the convenience of the reader.
For convenience of the reader, we display it as follows.
For convenience of the reader, we repeat the proof here.
For the convenience of the reader we recall this classification.
For the convenience of the reader, we recall some notations.
For e convenience of the reader, we further cite them.
For the convenience of the reader, we present here the necessary definitions from fractional calculus theory.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com