A NECESSARY CONDITION AND A SUFFICIENT CONDITION FOR THESUMMABILITY OF THE DISCRETE RIESZ TRANSFORM

The Riesz transform has been well studied on classical Lebesgue, Morrey, Sobolev, Besov, Campanato, etc. spaces.But its discrete version has not been well studied.In this paper, we find a necessary condition and a sufficient condition for the summability of the discrete Riesz transform.

Publication Details

Published
2025-01-01
DOI
https://doi.org/10.30546/209501.101.2024.1.3.09
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
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article

A NECESSARY CONDITION AND A SUFFICIENT CONDITION FOR THESUMMABILITY OF THE DISCRETE RIESZ TRANSFORM

Approximation Theory and Sequence Spaces
article

A NECESSARY CONDITION AND A SUFFICIENT CONDITION FOR THESUMMABILITY OF THE DISCRETE RIESZ TRANSFORM

article en

Abstract

The Riesz transform has been well studied on classical Lebesgue, Morrey, Sobolev, Besov, Campanato, etc. spaces.But its discrete version has not been well studied.In this paper, we find a necessary condition and a sufficient condition for the summability of the discrete Riesz transform.

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A NECESSARY CONDITION AND A SUFFICIENT CONDITION FOR THESUMMABILITY OF THE DISCRETE RIESZ TRANSFORM · (2025) | TGRS Research Map | TGRS