BOUNDEDNESS OF SUBLINEAR OPERATORS GENERATED BY CALDERÓN-ZYGMUND OPERATORS ON GENERALIZED WEIGHTED MORREY SPACES

2014 ◽  
Vol 60 (1) ◽  
Author(s):  
Turhan Karaman ◽  
Vagif S. Guliyev ◽  
Ayhan Serbetci
Keyword(s):  
Morrey Spaces ◽  
Weighted Morrey Spaces ◽  
Sublinear Operators

scholarly journals Commutators of sublinear operators generated by Calderón-Zygmund operator on generalized weighted Morrey spaces

2014 ◽  
Vol 64 (2) ◽  
pp. 365-386 ◽  
Author(s):  
Vagif Sabir Guliyev ◽  
Turhan Karaman ◽  
Rza Chingiz Mustafayev ◽  
Ayhan Şerbetçi
Keyword(s):  
Morrey Spaces ◽  
Zygmund Operator ◽  
Weighted Morrey Spaces ◽  
Sublinear Operators

scholarly journals Boundedness of Sublinear Operators with Rough Kernels on Weighted Morrey Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Shaoguang Shi ◽  
Zunwei Fu
Keyword(s):  
Harmonic Analysis ◽  
Morrey Spaces ◽  
Rough Kernels ◽  
Bmo Functions ◽  
Weighted Morrey Spaces ◽  
Sublinear Operators

The aim of this paper is to get the boundedness of a class of sublinear operators with rough kernels on weighted Morrey spaces under generic size conditions, which are satisfied by most of the operators in classical harmonic analysis. Applications to the corresponding commutators formed by certain operators and BMO functions are also obtained.

Sublinear operators in generalized weighted Morrey spaces

2016 ◽  
Vol 94 (2) ◽  
pp. 558-560 ◽  
Author(s):  
V. Kokilashvili ◽  
A. Meskhi ◽  
H. Rafeiro
Keyword(s):  
Morrey Spaces ◽  
Weighted Morrey Spaces ◽  
Sublinear Operators

The Dirichlet problem for the uniformly elliptic equation in generalized weighted Morrey spaces

2020 ◽  
Vol 57 (1) ◽  
pp. 68-90 ◽  
Author(s):  
Tahir S. Gadjiev ◽  
Vagif S. Guliyev ◽  
Konul G. Suleymanova
Keyword(s):  
Elliptic Equations ◽  
A Priori Estimates ◽  
A Priori ◽  
Morrey Spaces ◽  
Smooth Bounded Domain ◽  
Weighted Morrey Spaces ◽  
Priori Estimates ◽  
Muckenhoupt Class ◽  
Morrey Estimates ◽  
Dirichlet Boundary Problem

Abstract In this paper, we obtain generalized weighted Sobolev-Morrey estimates with weights from the Muckenhoupt class Ap by establishing boundedness of several important operators in harmonic analysis such as Hardy-Littlewood operators and Calderon-Zygmund singular integral operators in generalized weighted Morrey spaces. As a consequence, a priori estimates for the weak solutions Dirichlet boundary problem uniformly elliptic equations of higher order in generalized weighted Sobolev-Morrey spaces in a smooth bounded domain Ω ⊂ ℝn are obtained.

scholarly journals The Fractional Operators on Weighted Morrey Spaces

2017 ◽  
Vol 28 (2) ◽  
pp. 1502-1524 ◽  
Author(s):  
Shohei Nakamura ◽  
Yoshihiro Sawano ◽  
Hitoshi Tanaka
Keyword(s):  
Morrey Spaces ◽  
Fractional Operators ◽  
Weighted Morrey Spaces

scholarly journals The Boundedness of the Hardy-Littlewood Maximal Operator and Multilinear Maximal Operator in Weighted Morrey Type Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Takeshi Iida
Keyword(s):  
Maximal Function ◽  
Maximal Operator ◽  
Morrey Spaces ◽  
Weighted Morrey Spaces ◽  
Type Spaces ◽  
Multilinear Maximal Function ◽  
Multilinear Maximal Operator ◽  
Littlewood Maximal Operator

The aim of this paper is to prove the boundedness of the Hardy-Littlewood maximal operator on weighted Morrey spaces and multilinear maximal operator on multiple weighted Morrey spaces. In particular, the result includes the Komori-Shirai theorem and the Iida-Sato-Sawano-Tanaka theorem for the Hardy-Littlewood maximal operator and multilinear maximal function.

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