Results 41 to 50 of about 138,679 (278)
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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Regularity estimates for Green operators of Dirichlet and Neumann problems on weighted Hardy spaces [PDF]
Journal of the Mathematical Society of Japan, 2018 In this paper we first study the generalized weighted Hardy spaces $H^p_{L,w}(X)$ for ...
T. A. Bui, X. Duong
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Weighted composition operators from weighted hardy spaces to weighted-type spaces [PDF]
Demonstratio Mathematica, 2013 Abstract The boundedness and compactness of the weighted composition operator from weighted Hardy spaces to weighted-type spaces are studied in this paper.
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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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Paley--Wiener theorems on the Siegel upper half-space
, 2017 In this paper we study spaces of holomorphic functions on the Siegel upper half-space $\mathcal U$ and prove Paley-Wiener type theorems for such spaces. The boundary of $\mathcal U$ can be identified with the Heisenberg group $\mathbb H_n$.
Arcozzi, Nicola +3 more
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Weighted Hardy spaces associated with elliptic operators. Part II: Characterizations of $H^1_L (w)$ [PDF]
Publicacions matemàtiques, 2017 Given a Muckenhoupt weight w and a second order divergence form elliptic operator L, we consider different versions of the weighted Hardy space H1 L (w)defined by conical square functions and non-tangential maximal functions associated with the heat and ...
J. M. Martell, Cruz Prisuelos-Arribas
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Weighted fractional Hardy inequalities with singularity on any flat submanifold [PDF]
Journal of Mathematical Analysis and ApplicationsWe extend the work of Dyda and Kijaczko by establishing the corresponding weighted fractional Hardy inequalities with singularities on any flat submanifolds. While they derived weighted fractional Hardy inequalities with singularities at a point and on a
Vivek Sahu
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GENERALIZED HARDY–CESÀRO OPERATORS BETWEEN WEIGHTED SPACES [PDF]
Glasgow Mathematical Journal, 2018 AbstractWe characterize those non-negative, measurable functions ψ on [0, 1] and positive, continuous functions ω1 and ω2 on ℝ+ for which the generalized Hardy–Cesàro operator $$\begin{equation*}(U_{\psi}f)(x)=\int_0^1 f(tx)\psi(t)\,dt\end{equation*}$$ defines a bounded operator Uψ: L1(ω1) → L1(ω2) This generalizes a result of Xiao [7] to weighted ...
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Similarity of Operators in the Bergman Space Setting
, 2012 We give a necessary and sufficient condition for an n-hypercontraction to be similar to the backward shift operator in a weighted Bergman space. This characterization serves as a generalization of the description given in the Hardy space setting, where ...
Douglas, Ronald G. +2 more
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Hilbert-Schmidtness of weighted composition operators and their differences on Hardy spaces [PDF]
Opuscula Mathematica, 2020 Let \(u\) and \(\varphi\) be two analytic functions on the unit disk \(\mathbb{D}\) such that \(\varphi(\mathbb{D}) \subset \mathbb{D}\). A weighted composition operator \(uC_{\varphi}\) induced by \(u\) and \(\varphi\) is defined on \(H^2\), the Hardy ...
Ching-on Lo, Anthony Wai-keung Loh
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