Boundedness of vector-valued Calderón-Zygmund operators on Herz spaces with non-doubling measures

2007 ◽  
Vol 23 (2) ◽  
pp. 138-146
Author(s):  
Baode Li ◽  
Yinsheng Jiang ◽  
Hui Cao
Keyword(s):  
Herz Spaces ◽  
Vector Valued ◽  
Doubling Measures

scholarly journals A Vector-Valued Sharp Maximal Inequality on Morrey Spaces with Non-Doubling Measures

2006 ◽  
Vol 13 (1) ◽  
pp. 153-172 ◽  
Author(s):  
Yoshihiro Sawano
Keyword(s):  
Growth Condition ◽  
Maximal Inequality ◽  
Morrey Spaces ◽  
Vector Valued ◽  
Doubling Measures

Abstract We consider the vector-valued extension of the Fefferman–Stein–Strömberg sharp maximal inequality under growth condition. As an application we obtain a vector-valued extension of the boundedness of the commutator. Furthermore, we prove the boundedness of the commutator.

scholarly journals Multilinear Riesz Potential on Morrey-Herz Spaces with Non-Doubling Measures

2010 ◽  
Vol 2010 ◽  
pp. 1-21 ◽  
Author(s):  
Yanlong Shi ◽  
Xiangxing Tao ◽  
Taotao Zheng
Keyword(s):  
Riesz Potential ◽  
Herz Spaces ◽  
Doubling Measures

scholarly journals Weighted Central BMO Spaces and Their Applications

2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Huan Zhao ◽  
Zongguang Liu
Keyword(s):  
Hardy Operator ◽  
Dual Operator ◽  
Herz Spaces ◽  
Lebesgue Spaces ◽  
Weighted Lebesgue Spaces ◽  
Bmo Spaces ◽  
Vector Valued

In this paper, the central BMO spaces with Muckenhoupt A p weight is introduced. As an application, we characterize these spaces by the boundedness of commutators of Hardy operator and its dual operator on weighted Lebesgue spaces. The boundedness of vector-valued commutators on weighted Herz spaces is also considered.

Variable exponent Herz type Besov and Triebel–Lizorkin spaces

2018 ◽  
Vol 25 (1) ◽  
pp. 135-148 ◽  
Author(s):  
Jingshi Xu ◽  
Xiaodi Yang
Keyword(s):  
Maximal Operator ◽  
Variable Exponent ◽  
Maximal Functions ◽  
Herz Spaces ◽  
Vector Valued ◽  
Littlewood Maximal Operator

AbstractWe establish the boundedness of the vector-valued Hardy–Littlewood maximal operator in variable exponent Herz spaces, which were introduced by Samko in [33]. We also introduce variable exponent Herz type Besov and Triebel–Lizorkin spaces and give characterizations of these new spaces by maximal functions.

scholarly journals New Herz Type Besov and Triebel-Lizorkin Spaces with Variable Exponents

2012 ◽  
Vol 2012 ◽  
pp. 1-27 ◽  
Author(s):  
Baohua Dong ◽  
Jingshi Xu
Keyword(s):  
Maximal Operator ◽  
Maximal Functions ◽  
Variable Exponents ◽  
Herz Spaces ◽  
Vector Valued ◽  
Littlewood Maximal Operator

The authors establish the boundedness of vector-valued Hardy-Littlewood maximal operator in Herz spaces with variable exponents. Then new Herz type Besov and Triebel-Lizorkin spaces with variable exponents are introduced. Finally, characterizations of these new spaces by maximal functions are given.

The range of block Hankel operators

Filomat ◽  
2018 ◽  
Vol 32 (9) ◽  
pp. 3237-3243
Author(s):  
In Hwang ◽  
In Kim ◽  
Sumin Kim
Keyword(s):  
Hardy Space ◽  
Invariant Subspace ◽  
Hankel Operators ◽  
Coprime Factorization ◽  
Backward Shift ◽  
Vector Valued

In this note we give a connection between the closure of the range of block Hankel operators acting on the vector-valued Hardy space H2Cn and the left coprime factorization of its symbol. Given a subset F ? H2Cn, we also consider the smallest invariant subspace S*F of the backward shift S* that contains F.

Sign in / Sign up

Export Citation Format

Share Document