Results 231 to 240 of about 138,679 (278)

Inner functions in weighted Hardy spaces

Analysis and Mathematical Physics, 2019
Inner functions play a central role in function theory and operator theory on the Hardy space over the unit disk. Motivated by recent works of C. Bénéteau et al. and of D.
Trieu Le
semanticscholar   +1 more source

Approximation in weighted Hardy spaces

Journal d'Analyse Mathématique, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bonilla, A., Pérez-González, F., Stray, A., Trujillo-González, R.   +3 more
openaire   +2 more sources

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
openaire   +2 more sources

Operators from the Hardy space to the α‐Bloch space

Mathematische Nachrichten, 2019
Let BX be a bounded symmetric domain realized as the open unit ball of a finite dimensional JB*‐triple X. In this paper, we characterize the bounded weighted composition operators from the Hardy space H∞(BX) into the α‐Bloch space Bα(BX) on BX . Also, we
Tatsuhiro Honda
semanticscholar   +1 more source

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
openaire   +2 more sources

The molecular characterization of weighted Hardy spaces

Science in China Series A: Mathematics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Xingmin, Peng, Lizhong
openaire   +2 more sources

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.
openaire   +2 more sources

On Invariant Subspaces in Weighted Hardy Spaces

Ukrainian Mathematical Journal, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

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
openaire   +2 more sources

Calderón–Zygmund Operators on Weighted Hardy Spaces

Potential Analysis, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources