Martingale transforms and the Hardy-Littlewood-Sobolev inequality for semigroups
classification
🧮 math.PR
keywords
inequalityfractionalhardy-littlewood-sobolevmartingalerepresentationsemigroupstransformsfunction
read the original abstract
We give a representation of the fractional integral for symmetric Markovian semigroups as the projection of martingale transforms and prove the Hardy-Littlewood-Sobolev(HLS) inequality based on this representation. The proof rests on a new inequality for a fractional Littlewood-Paley $g$-function.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.