Variational characterizations of weighted Hardy spaces and weighted spaces

2021 ◽  
pp. 1-20
Author(s):  
Weichao Guo ◽  
Yongming Wen ◽  
Huoxiong Wu ◽  
Dongyong Yang
Keyword(s):  
Hardy Spaces ◽  
Weighted Spaces ◽  
Weighted Hardy Spaces ◽  
Approximate Identities ◽  
Type Spaces ◽  
Variation Operators ◽  
Formula Type

This paper obtains new characterizations of weighted Hardy spaces and certain weighted $BMO$ type spaces via the boundedness of variation operators associated with approximate identities and their commutators, respectively.

𝒩(p, q, s)-type spaces in the unit ball of ℂn(II): Carleson measure and its application

2020 ◽  
Vol 32 (1) ◽  
pp. 79-94 ◽  
Author(s):  
Bingyang Hu ◽  
Songxiao Li
Keyword(s):  
Unit Ball ◽  
Carleson Measure ◽  
Bergman Spaces ◽  
Weighted Bergman Spaces ◽  
Weighted Hardy Spaces ◽  
Hadamard Products ◽  
New Class ◽  
Random Power Series ◽  
Type Spaces ◽  
Formula Type

AbstractThe purpose of this paper is to study a new class of function spaces, called {\mathcal{N}(p,q,s)}-type spaces, in the unit ball {{\mathbb{B}}} of {{\mathbb{C}}^{n}}. The Carleson measure on such spaces is investigated. Some embedding theorems among {\mathcal{N}(p,q,s)}-type spaces, weighted Bergman spaces and weighted Hardy spaces are established. As for applications, the Hadamard products and random power series on {\mathcal{N}(p,q,s)}-type spaces are also studied.

scholarly journals Weighted composition operators from weighted hardy spaces to weighted-type spaces

2013 ◽  
Vol 46 (2) ◽  
Author(s):  
Xiangling Zhu
Keyword(s):  
Composition Operator ◽  
Hardy Spaces ◽  
Composition Operators ◽  
Weighted Composition Operator ◽  
Weighted Composition Operators ◽  
Weighted Hardy Spaces ◽  
Type Spaces ◽  
Weighted Composition ◽  
Weighted Type

AbstractThe boundedness and compactness of the weighted composition operator from weighted Hardy spaces to weighted-type spaces are studied in this paper.

scholarly journals Toeplitz operators with PQC symbols on weighted Hardy spaces

1991 ◽  
Vol 97 (1) ◽  
pp. 194-214 ◽  
Author(s):  
Albrecht Böttcher ◽  
Ilya M Spitkovsky
Keyword(s):  
Hardy Spaces ◽  
Toeplitz Operators ◽  
Weighted Hardy Spaces

scholarly journals WEIGHTED HARDY SPACES ASSOCIATED WITH OPERATORS SATISFYING REINFORCED OFF-DIAGONAL ESTIMATES

2013 ◽  
Vol 17 (4) ◽  
pp. 1127-1166 ◽  
Author(s):  
The Anh Bui ◽  
Jun Cao ◽  
Luong Dang Ky ◽  
Dachun Yang ◽  
Sibei Yang
Keyword(s):  
Hardy Spaces ◽  
Weighted Hardy Spaces
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