On One Uniqueness Theorem for a Weighted Hardy Space

2015 ◽  
Vol 67 (3) ◽  
pp. 372-380
Author(s):  
T. I. Hishchak
Keyword(s):  
Hardy Space ◽  
Uniqueness Theorem ◽  
Weighted Hardy Space

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

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

scholarly journals Fredholm Weighted Composition Operator on Weighted Hardy Space

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Liankuo Zhao
Keyword(s):  
Hardy Space ◽  
Composition Operator ◽  
Hardy Spaces ◽  
Weighted Composition Operator ◽  
Weighted Hardy Space ◽  
Weighted Hardy Spaces ◽  
Weighted Composition

This paper gives a unified characterization of Fredholm weighted composition operator on a class of weighted Hardy spaces.

scholarly journals On the Lebedev transformation in Hardy's spaces

2004 ◽  
Vol 2004 (66) ◽  
pp. 3603-3616
Author(s):  
Semyon B. Yakubovich
Keyword(s):  
Hardy Space ◽  
Arbitrary Function ◽  
Bessel Functions ◽  
Type Theorem ◽  
Fourier Integral ◽  
Modified Bessel Functions ◽  
Weighted Hardy Space ◽  
Integral Type ◽  
Hardy’S Space ◽  
And Inversion

We establish the inverse Lebedev expansion with respect to parameters and arguments of the modified Bessel functions for an arbitrary function from Hardy's spaceH2,A,A>0. This gives another version of the Fourier-integral-type theorem for the Lebedev transform. The result is generalized for a weighted Hardy spaceH⌢2,A≡H⌢2((−A,A);|Γ(1+Rez+iτ)|2dτ),0<A<1, of analytic functionsf(z),z=Rez+iτ, in the strip|Rez|≤A. Boundedness and inversion properties of the Lebedev transformation from this space into the spaceL2(ℝ+;x−1dx)are considered. WhenRez=0, we derive the familiar Plancherel theorem for the Kontorovich-Lebedev transform.

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