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On Weighted Hardy Spaces on Complex Semigroups

Semigroup Forum, 1998
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Approximation in weighted Hardy spaces

Journal d'Analyse Mathématique, 1997
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Bonilla, A.   +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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Generalized composition operators on weighted Hardy spaces

Applied Mathematics and Computation, 2012
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Stevo Stevic, Ajay K. Sharma
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Weighted Hardy Spaces on a Domain

2000
Weighted Hardy spaces were first studied by Gacia-Cuerva [GC] for the case of weight functions in the A ∞ class. Generalization to the case of weight functions satisfying only the doubling condition was given by Stromberg and Torchinsky [ST]. Both of these works are concerned with the weighted Hardy spaces on ℝ n . If we try to generalize the arguments
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Weighted Hardy–Orlicz-amalgam spaces of martingales

Statistics & Probability Letters
Motivated by the recent development on the Wiener amalgam spaces, in the paper under review, the authors introduce martingale weighted Hardy-Orlicz-amalgam spaces and then establish the atomic decomposition. Finally, the authors find the dual spaces of these martingale weighted Hardy-Orlicz-amalgam spaces.
Yu, Lin, Mi, Xue
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Calderón–Zygmund Operators on Weighted Hardy Spaces

Potential Analysis, 2012
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Revisiting weighted tent spaces: Application to predual of weighted Hardy spaces

Illinois Journal of Mathematics
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CHARACTERISATIONS OF HARDY GROWTH SPACES WITH DOUBLING WEIGHTS

Bulletin of the Australian Mathematical Society, 2014
AbstractLet $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}H(\mathbb{D})$ denote the space of holomorphic functions on the unit disc $\mathbb{D}$.
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