scholarly journals On the Behaviors of Rough Fractional Type Sublinear Operators on Vanishing Generalized Weighted Morrey Spaces

2019 ◽  
Keyword(s):  
Morrey Spaces ◽  
Weighted Morrey Spaces ◽  
Sublinear Operators ◽  
Fractional Type

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.

Sign in / Sign up

Export Citation Format

Share Document