The Cauchy integral operator on weighted Hardy space

2010 ◽  
Vol 31 (4) ◽  
pp. 461-472 ◽  
Author(s):  
Jianmiao Ruan ◽  
Jiecheng Chen
Keyword(s):  
Hardy Space ◽  
Integral Operator ◽  
Weighted Hardy Space ◽  
Cauchy Integral

scholarly journals A note on weak factorization of a Meyer-type Hardy space via a Cauchy integral operator

2020 ◽  
Vol 253 (3) ◽  
pp. 307-327
Author(s):  
Yongsheng Han ◽  
Ji Li ◽  
Cristina Pereyra ◽  
Brett D. Wick
Keyword(s):  
Hardy Space ◽  
Integral Operator ◽  
Cauchy Integral ◽  
Weak Factorization

scholarly journals On decomposition problemin weighted Hardy space

2019 ◽  
Vol 119 ◽  
pp. 151-155
Author(s):  
Volodymyr Dilnyi ◽  
Khrystyna Huk
Keyword(s):  
Hardy Space ◽  
Weighted Hardy Space

scholarly journals The weak-type (1,1) of Fourier integral operators of order –(n–1)/2

2004 ◽  
Vol 76 (1) ◽  
pp. 1-22 ◽  
Author(s):  
Terence Tao
Keyword(s):  
Hardy Space ◽  
Integral Operator ◽  
Weak Type ◽  
Fourier Integral Operator ◽  
Integral Operators ◽  
Fourier Integral ◽  
Fourier Integral Operators ◽  
Main Ideas

AbstractLet T be a Fourier integral operator on Rn of order–(n–1)/2. Seeger, Sogge, and Stein showed (among other things) that T maps the Hardy space H1 to L1. In this note we show that T is also of weak-type (1, 1). The main ideas are a decomposition of T into non-degenerate and degenerate components, and a factorization of the non-degenerate portion.

Spectra of generalized composition operators on weighted Hardy space

2017 ◽  
Author(s):  
Rohit Gandhi ◽  
Sunil Kumar Sharma ◽  
B. S. Komal
Keyword(s):  
Hardy Space ◽  
Composition Operators ◽  
Weighted Hardy Space

scholarly journals Contractive multipliers from Hardy space to weighted Hardy space

2017 ◽  
Vol 145 (6) ◽  
pp. 2411-2425 ◽  
Author(s):  
Joseph A. Ball ◽  
Vladimir Bolotnikov
Keyword(s):  
Hardy Space ◽  
Weighted Hardy Space
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