Results 21 to 30 of about 981 (157)
Weighted Grand Herz-Type Spaces and Its Applications
Journal of Function Spaces, 2022 In this paper, we introduce the weighted grand Herz spaces and weighted grand Herz-type Hardy spaces. The decompositional characterizations of these spaces are established. As its applications, the boundedness of some sublinear operators are established.
Xia Yu, Zongguang Liu
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Hardy Spaces on Weighted Homogeneous Trees [PDF]
, 2020 17 pages; 2 ...
Arditti, Laura +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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Weighted Multilinear Hardy Operators on Herz Type Spaces
The Scientific World Journal, 2014 This paper focuses on the bounds of weighted multilinear Hardy operators on the product Herz spaces and the product Morrey-Herz spaces, respectively.
Shuli Gong, Zunwei Fu, Bolin Ma
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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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𝑝-Carleson Measures for a Class of Hardy-Orlicz Spaces
International Journal of Mathematics and Mathematical Sciences, 2011 An alternative interpretation of a family of weighted Carleson measures is used to characterize 𝑝-Carleson measures for a class of Hardy-Orlicz spaces admitting a nice weak factorization.
Benoît Florent Sehba
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Weighted Central BMO Spaces and Their Applications
Journal of Function Spaces, 2021 In this paper, the central BMO spaces with Muckenhoupt Ap weight is introduced. As an application, we characterize these spaces by the boundedness of commutators of Hardy operator and its dual operator on weighted Lebesgue spaces.
Huan Zhao, Zongguang Liu
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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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Spatial Numerical Range of Operators on Weighted Hardy Spaces
International Journal of Mathematics and Mathematical Sciences, 2011 We consider the spatial numerical range of operators on weighted Hardy spaces and give conditions for closedness of numerical range of compact operators.
Abdolaziz Abdollahi +1 more
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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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