Equivalence of operator norm for Hardy-Littlewood maximal operators and their truncated operators on Morrey spaces

2020 ◽  
Vol 15 (1) ◽  
pp. 215-223
Author(s):  
Xingsong Zhang ◽  
Mingquan Wei ◽  
Dunyan Yan ◽  
Qianjun He
Keyword(s):  
Morrey Spaces ◽  
Operator Norm ◽  
Maximal Operators

scholarly journals A Gradient Estimate Related Fractional Maximal Operators for a $p$-Laplace Problem in Morrey Spaces

2021 ◽  
Vol -1 (-1) ◽  
Author(s):  
Thanh-Nhan Nguyen ◽  
Minh-Phuong Tran ◽  
Cao-Kha Doan ◽  
Van-Nghia Vo
Keyword(s):  
Morrey Spaces ◽  
Gradient Estimate ◽  
Maximal Operators ◽  
Laplace Problem

scholarly journals Weighted Endpoint Estimates for Commutators of Singular Integral Operators on Orlicz-Morrey Spaces

2019 ◽  
Vol 2019 ◽  
pp. 1-6
Author(s):  
Jinyun Qi ◽  
Hongxia Shi ◽  
Wenming Li
Keyword(s):  
Singular Integral ◽  
Fractional Integral ◽  
Integral Operators ◽  
Morrey Spaces ◽  
Singular Integral Operators ◽  
Maximal Operators ◽  
Fractional Integral Operators

In this paper, we obtain the weighted endpoint estimates for the commutators of the singular integral operators with the BMO functions and the associated maximal operators on Orlicz-Morrey Spaces. We also get the similar results for the commutators of the fractional integral operators with the BMO functions and the associated maximal operators.

scholarly journals Estimates for Compositions of Maximal Operators with Singular Integrals

2013 ◽  
Vol 56 (4) ◽  
pp. 801-813 ◽  
Author(s):  
Richard Oberlin
Keyword(s):  
Singular Integrals ◽  
Weak Type ◽  
Operator Norm ◽  
Maximal Operators ◽  
Multiplier Operator ◽  
Norm Estimates ◽  
Variation Norm

Abstract.We prove weak-type (1, 1) estimates for compositions of maximal operators with singular integrals. Our main object of interest is the operator Δ*Ψ where Δ* is Bourgain’s maximal multiplier operator and is the sum of several modulated singular integrals; here our method yields a significantly improved bound for the Lq operator norm when 1 < q < 2. We also consider associated variation-norm estimates.

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