A Note on Rough Parametric Marcinkiewicz Functions
Abstract
In this note, we obtain sharp $L^{p}$ estimates of parametric Marcinkiewicz integral operators. Our result resolves a long standing open problem. Also, we present a class of parametric Marcinkiewicz integral operators that are bounded provided that their kernels belong to the sole space $L^{1}\left( \mathbb{S}^{n-1}\right) $.
About this article
How to Cite
A Note on Rough Parametric Marcinkiewicz Functions. (2022). Analysis in Theory and Applications, 36(1), 52-59. https://doi.org/10.4208/ata.OA-2017-0074
