Results 31 to 40 of about 4,424,757 (295)
The factorization of the weighted Hardy space in terms of multilinear Calderón-Zygmund operators
, 2023 summary:We give a constructive proof of the factorization theorem for the weighted Hardy space in terms of multilinear Calderón-Zygmund operators. The result is also new even in the linear setting.
He, Suixin, Tao, Shuangping
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The Molecular Characterization of Weighted Hardy Spaces
Journal of Functional Analysis, 2002 Let ...
Lee, Ming-Yi, Lin, Chin-Cheng
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Riesz's Functions in Weighted Hardy and Bergman Spaces [PDF]
Canadian Journal of Mathematics, 1996 AbstractLet μ be a finite positive Borel measure on the closed unit disc . For each a in , put where ƒ ranges over all analytic polynomials with f(a) = 1. This upper semicontinuous function S(a) is called a Riesz's function and studied in detail. Moreover several applications are given to weighted Bergman and Hardy spaces.
Nakazi, T., Yamada, M.
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Weighted Hardy Spaces on the Unit Disk [PDF]
Complex Analysis and Operator Theory, 2014 In this paper we mainly discuss three things. First, there is no canonical norm on the space $H^p_u(\mathbb{D})$. Second, we improve the weak-$*$ convergence of the measures $μ_{u,r}$. Third, the dilations $f_t$ of the function $f\in H^p_u(\mathbb{D})$ converge to $f$ in $H^p_u$-norm and hence the polynomials are dense in $H^p_u(\mathbb{D})$.
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Abstract and Applied Analysis, 2013 The authors prove that the parametrized area integral and function are bounded from the weighted weak Hardy space to the weighted weak Lebesgue space as satisfies a class of the integral Dini condition, respectively.
Ximei Wei, Shuangping Tao
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Weighted Sobolev spaces on curves [PDF]
, 2002 45 pages, no figures.-- MSC1987 codes: 41A10, 46E35, 46G10.MR#: MR1934626 (2003j:46038)Zbl#: Zbl 1019.46026In this paper we present a definition of weighted Sobolev spaces on curves and find general conditions under which the spaces are complete for non ...
Pestana, Domingo +3 more
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On weighted generalized composition operators on weighted hardy spaces
Filomat, 2020 The present paper introduces the class of weighted generalized composition operators of higher order defined on the weighted Hardy spaces. The study of bounded operators belonging to this class is undertaken and an attempt is made to describe their structural and spectral properties.
Datt, Gopal, Jain, Mukta, Ohri, Neelima
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Hardy Operators and Commutators on Weighted Herz Spaces
Analysis in Theory and Applications, 2023 Summary: Let \(P\) be the classical Hardy operator on \((0, \infty)\) and \(Q\) be the adjoint operator. In this paper, we get the boundedness for \(P\), \(Q\) and the commutators of \(P\) and \(Q\) with \(CMO\) functions on the weighted Herz spaces.
Hu, Jingling, Peng, Yangke, Li, Wenming
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A sufficient condition for the boundedness of operator-weighted martingale transforms and Hilbert transform [PDF]
, 2007 Let W be an operator weight taking values almost everywhere in the bounded positive invertible linear operators on a separable Hilbert space H. We show that if W and its inverse W−1 both satisfy a matrix reverse Holder property introduced in [2], then ...
Pott, S.
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Weighted Composition Operators on Hardy Spaces
Journal of Mathematical Analysis and Applications, 2001 This paper studies operators of the form \(f\mapsto (f\circ\varphi)\psi\) acting on Hardy spaces \(H^p\) of the unit disk \(D\), where \(\psi\) is analytic in \(D\) and \(\varphi\) is an analytic self-map of \(D\). Problems studied include the boundedness, compactness, weak compactness, and complete continuity of such operators.
Contreras, Manuel D +1 more
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