A boundedness result for Marcinkiewicz integral operator

We extend a boundedness result for Marcinkiewicz integral operator. We find a new space of radial functions for which this class of singular integral operators remains Lp{L}^{p}-bounded when its kernel satisfies only the sole integrability condition.

Bibliographic Details
Main Authors: Hawawsheh Laith, Abudayah Mohammad
Format: Article
Language:English
Published: De Gruyter 2020-07-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2020-0046