Results 251 to 260 of about 31,046 (285)

Weighted Subspaces of Hardy Spaces

Canadian Journal of Mathematics, 1988
A function f in Hp on the unit disc U of the complex plane has the uniform growthWe consider in this paper a subspace of Hp with better uniform growthFor the previous results on see [5, 6, 7]. We start with proving an inequality on Hp which is related to the Hardy-Stein identity (Theorem 2.1) in Section 2. This is applied in the subsequent section to
Kim, Hong Oh, Kwon, Ern Geun
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Weighted Composition Operators on Weighted Hardy Spaces

Computational Methods and Function Theory, 2019
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Gupta, Anuradha, Gupta, Bhawna
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Approximation in weighted Hardy spaces

Journal d'Analyse Mathématique, 1997
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Bonilla, A., Pérez-González, F., Stray, A., Trujillo-González, R.   +3 more
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Real Functions in Weighted Hardy Spaces

Journal of Mathematical Sciences, 2002
For a function \(w\in L^1\) on the unit circle with \(w\geq 0\) and \(\log w\in L^1\), let \[ I_w= {H^p\over \varphi} \cap{\overline {H^p\over\overline \varphi}} \] where \(\varphi\in H^p\) is an outer function such that \(|\varphi |^p=w\). The following problem is considered: when \(I_w\) contains no nonconstant functions. In the case \(p=2\), this is
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A HARDY-LITTLEWOOD THEOREM FOR WEIGHTED SPACES

Acta Mathematica Scientia, 1997
Summary: Let \(q\geq 2\). If \(f\) is a measurable function on \(\mathbb{R}^n\) such that \(f(x)|x|^{n(1-2/q)}\in L^q(\mathbb{R}^n)\), then its Fourier transform \(\widehat f\) can be defined and there exists a constant \(A_q\) such that the inequality \(|\widehat f|_q\leq A_q|f|\cdot|^{n(1-2/q)}|_q\) holds. This is the Hardy-Littlewood theorem.
Liu, Jianming, Zheng, Weixing
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The molecular characterization of weighted Hardy spaces

Science in China Series A: Mathematics, 2001
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Li, Xingmin, Peng, Lizhong
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Generalized multiplication operators on weighted hardy spaces

Lobachevskii Journal of Mathematics, 2011
The authors consider operators \(M^d_\theta f= \theta f'\) for functions \(\theta\) and \(f\) holomorphic in \(\Omega\) and call them ``generalized multiplication'' operators. The paper contains some facts about the action of such operators on what the authors idiosyncratically call ``weighted Hardy spaces'' \(H^p(\beta)\) given by holomorphic ...
Sharma, Sunil Kumar, Komal, B. S.
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On Invariant Subspaces in Weighted Hardy Spaces

Ukrainian Mathematical Journal, 2014
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Weighted Composition Operators between Different Hardy Spaces

Integral Equations and Operator Theory, 2003
Let \(H(D)\) be the space of analytic functions \(f:D\to{\mathbb C}\) where \(D\) is the usual open unit disk in \(\mathbb C\). Let \(\varphi\in H(D)\) with \(\varphi(D)\i D\) and \(\psi\in H(D)\) be given. The weighted composition operator \(W_{\varphi,\psi}:H(D)\to H(D)\) is defined by \(f\mapsto\psi\cdot(f\circ\varphi)\).
Contreras, Manuel D., Hernández-Díaz, Alfredo G.   +1 more
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Calderón–Zygmund Operators on Weighted Hardy Spaces

Potential Analysis, 2012
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