Results 41 to 50 of about 5,067 (292)
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 $H^p_u(\mathbb{D})$.
openaire +3 more sources
Essential norm and a new characterization of weighted composition operators from weighted Bergman spaces and Hardy spaces into the Bloch space [PDF]
, 2017 summary:In this paper, we give some estimates for the essential norm and a new characterization for the boundedness and compactness of weighted composition operators from weighted Bergman spaces and Hardy spaces to the Bloch ...
Li, Songxiao +5 more
core +1 more source
Rhaly Operators on Small Weighted Hardy Spaces [PDF]
Acta Mathematica Vietnamica, 2018 Let $\beta= (\beta_n)$ be a sequence of positive real numbers such that $\sum_{n\geq 0}\beta_{n}^{-2}
Tan Pin Lin, Minh Luan Doan, Le Hai Khoi
openaire +3 more sources
Riesz's Functions in Weighted Hardy and Bergman Spaces [PDF]
Canadian Journal of Mathematics, 1996 AbstractLet μ be a finite positive Borel measure on the closed unit disc . For each a in , put where ƒ ranges over all analytic polynomials with f(a) = 1. This upper semicontinuous function S(a) is called a Riesz's function and studied in detail. Moreover several applications are given to weighted Bergman and Hardy spaces.
Nakazi, T., Yamada, M.
openaire +2 more sources
Abstract and Applied Analysis, 2013 The authors prove that the parametrized area integral and function are bounded from the weighted weak Hardy space to the weighted weak Lebesgue space as satisfies a class of the integral Dini condition, respectively.
Ximei Wei, Shuangping Tao
doaj +1 more source
On weighted generalized composition operators on weighted hardy spaces
Filomat, 2020 The present paper introduces the class of weighted generalized composition operators of higher order defined on the weighted Hardy spaces. The study of bounded operators belonging to this class is undertaken and an attempt is made to describe their structural and spectral properties.
Datt, Gopal, Jain, Mukta, Ohri, Neelima
openaire +2 more sources
Hardy Operators and Commutators on Weighted Herz Spaces
Analysis in Theory and Applications, 2023 Summary: Let \(P\) be the classical Hardy operator on \((0, \infty)\) and \(Q\) be the adjoint operator. In this paper, we get the boundedness for \(P\), \(Q\) and the commutators of \(P\) and \(Q\) with \(CMO\) functions on the weighted Herz spaces.
Hu, Jingling, Peng, Yangke, Li, Wenming
openaire +1 more source
Generalized weighted Sobolev spaces and applications to Sobolev orthogonal polynomials, I [PDF]
, 2004 36 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.-- Part II of this paper published in: Approx. Theory Appl. 18(2): 1-32 (2002), available at: http://e-archivo.uc3m.es/handle/10016/6483MR#: MR2047389 (2005k:42062)Zbl#: Zbl 1081.42024In this ...
Pestana, Domingo +3 more
core +1 more source
Antinormal Weighted Composition Operators
Abstract and Applied Analysis, 2016 Let l2=L2N,μ, where N is set of all positive integers and μ is the counting measure whose σ-algebra is the power set of N. In this paper, we obtain necessary and sufficient conditions for a weighted composition operator to be antinormal on the Hilbert ...
Dilip Kumar, Harish Chandra
doaj +1 more source
Hilbert-Schmidtness of weighted composition operators and their differences on Hardy spaces [PDF]
Opuscula Mathematica, 2020 Let \(u\) and \(\varphi\) be two analytic functions on the unit disk \(\mathbb{D}\) such that \(\varphi(\mathbb{D}) \subset \mathbb{D}\). A weighted composition operator \(uC_{\varphi}\) induced by \(u\) and \(\varphi\) is defined on \(H^2\), the Hardy ...
Ching-on Lo, Anthony Wai-keung Loh
doaj +1 more source