Weighted Lp boundedness of maximal operators with rough kernels

Autor: Hussain Al-Qassem, Mohammed Ali
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AIMS Mathematics, Vol 9, Iss 9, Pp 25966-25978 (2024)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.20241269?viewType=HTML
Popis: In this paper, we study the weighted spaces $ L^p(\omega, \mathbb{R}^d) $ boundedness of certain class of maximal operators when their kernels belong to the space $ L^{q}(\mathbb{S} ^{d-1}) $, $ q > 1 $. Our results in this paper are improvements and extensions of some previously known results.
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