Results 31 to 40 of about 4,397 (258)
Generalized Hilbert operator on analytic function spaces [PDF]
Arab Journal of Mathematical SciencesPurposeThe main objective of this work is to study the boundedness property of a generalized Hilbert operator Hβ for β ≥ 0 defined by, if f(z)=∑n=0∞anzn be any analytic function on the unit disk D then Hβf(z)=∑n=0∞∑k=0∞Γ(n+β+1)Γ(n+k+1)Γ(n+1)Γ(n+k+β+2 ...
Simi Bhuyan, Sunanda Naik
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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
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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.
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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
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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
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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
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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
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Advanced Materials Interfaces, EarlyView.Nonwoven textile architectures are emerging as versatile platforms for next‐generation energy storage, demonstrating how tailored materials and fabrication strategies enhance ion transport, conductivity, flexibility, and scalability for high‐performance sustainable devices.
Tarikul Islam +6 more
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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
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Collision‐Resilient Winged Drones Enabled by Tensegrity Structures
Advanced Robotics Research, EarlyView.Based on structures of birds such as the woodpeck, this article presents the collision‐resilient aerial robot, SWIFT. SWIFT leverages tensegrity structures in the fuselage and wings which allow it to undergo large deformations in a crash, without sustaining damage. Experiments show that SWIFT can reduce impact forces by 70% over conventional structures.
Omar Aloui +5 more
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