hilbert operator
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A Derivative-Hilbert operator acting on Bergman spaces

2021 ◽  
pp. 125553
Author(s):  
Shanli Ye ◽  
Zhihui Zhou
Keyword(s):  
Bergman Spaces ◽  
Hilbert Operator

A Derivative-Hilbert Operator Acting on the Bloch Space

2021 ◽  
Vol 15 (5) ◽  
Author(s):  
Shanli Ye ◽  
Zhihui Zhou
Keyword(s):  
Bloch Space ◽  
Hilbert Operator

Fractional Cesàro Matrix and its Associated Sequence Space

2021 ◽  
Vol 8 (1) ◽  
pp. 24-39
Author(s):  
H. Roopaei ◽  
M. İlkhan
Keyword(s):  
Sequence Space ◽  
Topological Properties ◽  
Hilbert’S Inequality ◽  
Hilbert Operator ◽  
Cesàro Matrix ◽  
New Inequalities

Abstract In this research, we introduce a new fractional Cesàro matrix and investigate the topological properties of the sequence space associated with this matrix.We also introduce a fractional Gamma matrix aswell and obtain some factorizations for the Hilbert operator based on Cesàro and Gamma matrices. The results of these factorizations are two new inequalities one ofwhich is a generalized version of thewell-known Hilbert’s inequality. There are also some challenging problems that authors share at the end of the manuscript and invite the researcher for trying to solve them.

scholarly journals Bounds of operators on the Hilbert sequence space

2020 ◽  
Vol 7 (1) ◽  
pp. 155-165 ◽  
Author(s):  
Hadi Roopaei
Keyword(s):  
Sequence Space ◽  
Sequence Spaces ◽  
Hilbert Operator

AbstractThe author has computed the bounds of the Hilbert operator on some sequence spaces [18, 19]. Through this study the author has investigated the bounds of operators on the Hilbert sequence space and the present study is a complement of those previous research.

scholarly journals Norm of Hilbert operator on sequence spaces

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Hadi Roopaei
Keyword(s):  
Sequence Spaces ◽  
Hilbert Operator

scholarly journals A generalized Hilbert operator acting on conformally invariant spaces

2018 ◽  
Vol 12 (2) ◽  
pp. 374-398 ◽  
Author(s):  
Daniel Girela ◽  
Noel Merchán
Keyword(s):  
Conformally Invariant ◽  
Generalized Hilbert Operator ◽  
Hilbert Operator ◽  
Invariant Spaces

scholarly journals Mean Lipschitz spaces and a generalized Hilbert operator

2018 ◽  
Vol 70 (1) ◽  
pp. 59-69 ◽  
Author(s):  
Noel Merchán
Keyword(s):  
Lipschitz Spaces ◽  
Generalized Hilbert Operator ◽  
Hilbert Operator ◽  
Mean Lipschitz Spaces

scholarly journals Inequalities for Hilbert operator and its extensions: The probabilistic approach

2017 ◽  
Vol 45 (1) ◽  
pp. 535-563 ◽  
Author(s):  
Adam Osȩkowski
Keyword(s):  
Probabilistic Approach ◽  
Hilbert Operator
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