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TWO-WEIGHTED INEQUALITIES FOR MAXIMAL, SINGULAR INTEGRAL OPERATORS AND THEIR COMMUTATORS IN GMp,θ,ω,φ(Rn) SPACES.

Authors :
AYDOGDU, AYSENUR
AYKOL, CANAY
HASANOV, JAVANSHIR J.
MUSAYEV, ALI M.
Source :
Transactions of A. Razmadze Mathematical Institute; Aug2024, Vol. 178 Issue 2, p179-196, 18p
Publication Year :
2024

Abstract

In this paper, we prove the two-weighted boundedness of maximal operator, singular integral operators and their commutators in weighted global Morrey-type spaces GM<subscript>p,θ,ω,φ</subscript>(R<superscript>n</superscript>). Furthermore, we give weighted global Morrey-type a priori estimates and a priori estimates for non-divergent elliptic equations in GM<subscript>p,θ,ω,φ</subscript>(R<superscript>n</superscript>) spaces as applications. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
23468092
Volume :
178
Issue :
2
Database :
Complementary Index
Journal :
Transactions of A. Razmadze Mathematical Institute
Publication Type :
Academic Journal
Accession number :
179996765