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Fredholm Weighted Composition Operator on Weighted Hardy Space [PDF]
Journal 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
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Weighted Calderón-Hardy spaces [PDF]
Mathematica BohemicaWe 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
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Weighted composition operators on Hardy–Smirnov spaces
Concrete 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
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Marcinkiewicz Integrals on Weighted Weak Hardy Spaces [PDF]
Journal 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
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Weighted Hardy Operators in Complementary Morrey Spaces [PDF]
Journal 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
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On the intersection of weighted Hardy spaces
Karpatsʹkì 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
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Weighted Hardy Spaces of Quasiconformal Mappings [PDF]
The Journal of Geometric Analysis, 2022 We establish a weighted version of the $H^p$-theory of quasiconformal mappings.
Sita Benedict, Pekka Koskela, Xining Li
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Iterated discrete Hardy-type inequalities with three weights for a class of matrix operators
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 Iterated Hardy-type inequalities are one of the main objects of current research on the theory of Hardy inequalities. These inequalities have become well-known after study boundedness properties of the multidimensional Hardy operator acting from the ...
N.S. Zhangabergenova, A.M. Temirhanova
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Pseudodifferential Operators on Weighted Hardy Spaces [PDF]
Journal of Function Spaces, 2020 We study two sufficient conditions for the boundedness of a class of pseudodifferential operators T with symbols in the Hölmander class Sρ,δmℝn on weighted Hardy spaces Hω1ℝn, where ω belongs to Muckenhoupt class Ap. The first one is an estimate from Hω1ℝn into Lω1ℝn. We get a better range of admissible p and m.
Yu-long Deng, Shun-chao Long
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Variational characterizations of weighted Hardy spaces and weighted spaces
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2021 This paper obtains new characterizations of weighted Hardy spaces and certain weighted $BMO$ type spaces via the boundedness of variation operators associated with approximate identities and their commutators, respectively.
Guo, Weichao +3 more
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