Results 21 to 30 of about 4,397 (258)

Interpolation between weighted Hardy spaces [PDF]

Proceedings of the American Mathematical Society, 1992
We prove that H p (
Cwikel, Michael, McCarthy, John E., Wolff, Thomas H.   +2 more
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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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Hardy Spaces on Weighted Homogeneous Trees [PDF]

, 2020
17 pages; 2 ...
Arditti, Laura, Tabacco, Anita, Vallarino, Maria   +2 more
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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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Numerical Range on Weighted Hardy Spaces as Semi Inner Product Spaces

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
The semi-inner product, in the sense of Lumer, on weighted Hardy space which generate the norm is unique. Also we will discuss some properties of the numerical range of bounded linear operators on weighted Hardy spaces.
Heydari Mohammad Taghi
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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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Weighted Iterated Radial Composition Operators between Some Spaces of Holomorphic Functions on the Unit Ball

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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Weighted Hardy Spaces on the Unit Disk [PDF]

Complex Analysis and Operator Theory, 2014
In this paper we mainly discuss three things. First, there is no canonical norm on the space $H^p_u(\mathbb{D})$. Second, we improve the weak-$*$ convergence of the measures $μ_{u,r}$. Third, the dilations $f_t$ of the function $f\in H^p_u(\mathbb{D})$ converge to $f$ in $H^p_u$-norm and hence the polynomials are dense in $H^p_u(\mathbb{D})$.
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