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Weighted Composition Operators on Weighted Hardy Spaces
Computational Methods and Function Theory, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gupta, Anuradha, Gupta, Bhawna
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Weighted Hardy spaces in the three-parameter case
In this paper, we use the idea of the discrete Littlewood–Paley theory developed by Han and Lu to carry out the three-parameter weighted Hardy spaces theory under a rather weak condition on the product weight (w∈A∞) and obtain the boundedness of singular
Ruan, Zhuoping
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Weighted Hardy and potential operators in the generalized Morrey spaces [PDF]
We study the weighted p -> q-boundedness of the multi-dimensional Hardy type operators in the generalized Morrey spaces L-p.phi(R-n, w) defined by an almost increasing function phi(r) and radial type weight w(vertical bar x vertical bar).
Lars-Erik Persson, Natasha Samko
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The molecular characterization of weighted Hardy spaces
Science in China Series A: Mathematics, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Xingmin, Peng, Lizhong
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A HARDY-LITTLEWOOD THEOREM FOR WEIGHTED SPACES
Acta Mathematica Scientia, 1997Summary: 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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Weighted composition–differentiation operators on the Hardy space
Banach Journal of Mathematical Analysis, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Han, Kaikai, Wang, Maofa
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On Invariant Subspaces in Weighted Hardy Spaces
Ukrainian Mathematical Journal, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Weighted Hardy Spaces on Complex Semigroups
Semigroup Forum, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Approximation in weighted Hardy spaces
Journal d'Analyse Mathématique, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bonilla, A. +3 more
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Real Functions in Weighted Hardy Spaces
Journal of Mathematical Sciences, 2002For 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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