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Fredholm Weighted Composition Operator on Weighted Hardy Space [PDF]

open access: yesJournal of Function Spaces and Applications, 2013
This paper gives a unified characterization of Fredholm weighted composition operator on a class of weighted Hardy spaces.
Liankuo Zhao
doaj   +4 more sources

Contractive multipliers from Hardy space to weighted Hardy space [PDF]

open access: yesProceedings of the American Mathematical Society, 2012
It is shown how any contractive multiplier from the Hardy space to a weighted Hardy space $H^{2}_{\bbeta}$ can be factored as a fixed factor composed with the classical Schur multiplier (contractive multiplier between Hardy spaces). The result is applied
J. Ball, V. Bolotnikov
semanticscholar   +4 more sources

Weighted Calderón-Hardy spaces [PDF]

open access: yesMathematica Bohemica
We present the weighted Calderón-Hardy spaces on Euclidean spaces and investigate their properties. As an application we show, for certain power weights, that the iterated Laplace operator is a bijection from these spaces onto classical weighted Hardy ...
Pablo Rocha
doaj   +4 more sources

Spectrum of Compact Weighted Composition Operators on the Weighted Hardy Space in the Unit Ball

open access: yesJournal of Inequalities and Applications, 2007
Let BN be the unit ball in the N-dimensional complex space, for ψ, a holomorphic function in BN, and ϕ, a holomorphic map from BN into itself, the weighted composition operator on the weighted Hardy space H2(β,BN) is given by (Cψ,ϕ)f=ψ ...
Cheng Yuan, Ze-Hua Zhou
doaj   +3 more sources

Weighted composition operators on Hardy–Smirnov spaces

open access: yesConcrete Operators, 2022
Operators of type f → ψf ◦ φ acting on function spaces are called weighted composition operators. If the weight function ψ is the constant function 1, then they are called composition operators.
Matache Valentin
doaj   +3 more sources

Marcinkiewicz Integrals on Weighted Weak Hardy Spaces [PDF]

open access: yesJournal of Function Spaces, 2014
We prove that, under the condition Ω∈Lipα, Marcinkiewicz integral μΩ is bounded from weighted weak Hardy space WHwpRn to weighted weak Lebesgue space WLwpRn for maxn/n+1/2,n/n ...
Yue Hu, Yueshan Wang
doaj   +2 more sources

Boundedness of second-order Riesz transforms on weighted Hardy and $BMO$ spaces associated with Schrödinger operators

open access: yesComptes Rendus. Mathématique, 2021
Let $d \in \lbrace 3, 4, 5, \ldots \rbrace $ and a weight $w \in A^\rho _\infty $. We consider the second-order Riesz transform $T = \nabla ^2 \, L^{-1}$ associated with the Schrödinger operator $L = -\Delta + V$, where $V \in RH_\sigma $ with $\sigma > \
Nguyen Ngoc, Trong   +2 more
doaj   +2 more sources

Weighted Hardy Operators in Complementary Morrey Spaces [PDF]

open access: yesJournal of Function Spaces and Applications, 2012
We study the weighted p→q-boundedness of the multidimensional weighted Hardy-type operators Hwα and ℋwα with radial type weight w=w(|x|), in the generalized complementary Morrey spaces ℒ∁{0}p,ψ(ℝn) defined by an almost increasing function ψ=ψ(r).
Dag Lukkassen   +2 more
doaj   +7 more sources

On the intersection of weighted Hardy spaces

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2016
Let $H^p_\sigma( \mathbb{C}_+),$ $1\leq p 0 \}$ and such that $$\|f\|:=\sup\limits_{\varphi\in (-\frac{\pi}{2};\frac{\pi}{2})}\left\{\int\limits_0^{+\infty} |f(re^{i\varphi})|^pe^{-p\sigma r|\sin \varphi|}dr\right\}^{1/p}0} H^{p}_{\sigma}(\mathbb C_{+})
V.M. Dilnyi, T.I. Hishchak
doaj   +3 more sources

Weighted Hardy Spaces of Quasiconformal Mappings [PDF]

open access: yesThe Journal of Geometric Analysis, 2022
We establish a weighted version of the $H^p$-theory of quasiconformal mappings.
Sita Benedict, Pekka Koskela, Xining Li
openaire   +4 more sources

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