Results 131 to 140 of about 981 (157)

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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Weighted Hardy Spaces

1989
Jan-Olov Strömberg, Alberto Torchinsky
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Sum of some product‐type operators from Hardy spaces to weighted‐type spaces on the unit ball

Mathematical Methods in the Applied Sciences, 2022
Stevo Stevic, Zhi-Jie Jiang
exaly  

Walsh–Fejér means and weighted Hardy spaces

Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio computatorica
In this paper we consider the Ap weights and weighted dyadic Hardy spaces. We investigate the convergence of Fejér means of Walsh– Fourier series. We prove that, under some conditions, the maximal operator of the Fejér means is bounded from the weighted dyadic Hardy space Hp(w) to Lp(w). This implies almost everywhere convergence of the Fejér means.
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