Results 31 to 40 of about 5,067 (292)
Weighted Sobolev spaces on curves [PDF]
, 2002 45 pages, no figures.-- MSC1987 codes: 41A10, 46E35, 46G10.MR#: MR1934626 (2003j:46038)Zbl#: Zbl 1019.46026In this paper we present a definition of weighted Sobolev spaces on curves and find general conditions under which the spaces are complete for non ...
Pestana, Domingo +3 more
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Interpolation between weighted Hardy spaces [PDF]
Proceedings of the American Mathematical Society, 1992 We prove that H p (
Cwikel, Michael +2 more
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A sufficient condition for the boundedness of operator-weighted martingale transforms and Hilbert transform [PDF]
, 2007 Let W be an operator weight taking values almost everywhere in the bounded positive invertible linear operators on a separable Hilbert space H. We show that if W and its inverse W−1 both satisfy a matrix reverse Holder property introduced in [2], then ...
Pott, S.
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On the intersection of weighted Hardy spaces
Carpathian Mathematical Publications, 2016 Let $H^p_\sigma( \mathbb{C}_+),$ $1\leq p <+\infty,$ $0\leq \sigma < +\infty,$ be the space of all functions $f$ analytic in the half plane $ \mathbb{C}_{+}= \{ z: \text {Re} z>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\
Dilnyi, V. M., Hishchak, T. I.
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Structure of weighted hardy spaces in the plane [PDF]
Filomat, 2016 We characterize certain weighted Hardy spaces on the unit disk and completely describe their dual spaces.
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Sobolev–Hardy space with general weight
Journal of Mathematical Analysis and Applications, 2006 In this paper, the authors prove the following \(k\)th order Hardy inequality with general weight. Let \(\Omega\) be a bounded domain. Then, under the assumptions \((H_1)\) and \((H_2)\), for each positive integer \(k\) the inequality \[ \int_{\Omega}\phi|\nabla u|^2\,dx-\int_{\Omega}\phi\sum_{i=1}^{k}\left(\frac{h_i'}{h_i}\right)^2u^2\,dx\geq\int_ ...
Shen, Yaotian, Chen, Zhihui
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Weighted Lorentz Spaces and the Hardy Operator
Journal of Functional Analysis, 1993 The authors find a new expression for the norm of a function in the weighted Lorentz space, with respect to the distribution function, and obtain as simple consequence a generalization of the classical embeddings \(L^{p,1}\subset\cdots\subset L^ p\subset\cdots\subset L^{p,t}\) and a new definition of the weak space \(\Lambda^{p,t}_ u(w)\).
Carro, M.J., Soria, J.
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Contractive multipliers from Hardy space to weighted Hardy space [PDF]
Proceedings of the American Mathematical Society, 2017 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 to get results on interpolation for a Hardy-to-weighted-Hardy contractive multiplier class.
Ball, Joseph A., Bolotnikov, Vladimir
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The Molecular Characterization of Weighted Hardy Spaces
Journal of Functional Analysis, 2002 Let ...
Lee, Ming-Yi, Lin, Chin-Cheng
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Abstract and Applied Analysis, 2010 The boundedness and compactness of weighted iterated radial composition operators from the mixed-norm space to the weighted-type space and the little weighted-type space on the unit ball are characterized here.
Stevo Stević
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