The Experts below are selected from a list of 8505 Experts worldwide ranked by ideXlab platform
Stevo Stević - One of the best experts on this subject based on the ideXlab platform.
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On a product-type operator between Hardy and α-Bloch spaces of the Upper Half-Plane.
Journal of Inequalities and Applications, 2018Co-Authors: Stevo Stević, Ajay K. SharmaAbstract:Recently we have introduced a product-type operator and studied it on some spaces of analytic functions on the unit disc. Here we start investigating the operator on the space of analytic functions on the Upper Half-Plane. We characterize the boundedness and compactness of the operator between Hardy and α-Bloch spaces on the domain.
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Weighted composition operators between Hardy and growth spaces on the Upper Half-Plane
Applied Mathematics and Computation, 2011Co-Authors: Stevo Stević, Ajay SharmaAbstract:Abstract Bounded weighted composition operators acting from Hardy to growth spaces on the Upper Half-Plane are characterized. We also give some necessary, as well as some sufficient conditions for the compactness of weighted composition operators between these spaces.
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Weighted Composition Operators from Weighted Bergman Spaces to Weighted-Type Spaces on the Upper Half-Plane
Abstract and Applied Analysis, 2011Co-Authors: Stevo Stević, Ajay Sharma, S D SharmaAbstract:Let
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Composition operators from the weighted Bergman space to the nth weighted-type space on the Upper Half-Plane
Applied Mathematics and Computation, 2010Co-Authors: Stevo StevićAbstract:Abstract The boundedness of the composition operator from the weighted Bergman space to, recently introduced by this author, the nth weighted-type space on the Upper Half-Plane Π + = { z ∈ C : Im z > 0 } are characterized here.
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Composition Operators from the Hardy Space to the Zygmund-Type Space on the Upper Half-Plane
Abstract and Applied Analysis, 2009Co-Authors: Stevo StevićAbstract:Here we introduce the
Roland Knevel - One of the best experts on this subject based on the ideXlab platform.
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Super automorphic forms on the super Upper Half Plane
Complex Variables and Elliptic Equations, 2013Co-Authors: Roland KnevelAbstract:Let H |r denote the Upper Half Plane H with r additional odd (anticommuting) coordinates. It admits a transitive super action of a certain super Lie group 𝒢. First, we define the spaces of super automorphic and cusp forms on H |r for an ordinary lattice Γ of 𝒢, give an asymptotic formula for their dimensions for high weight and show how to embed Γ \ H |r into the super projective space with the help of super automorphic forms. For also involving the odd directions of 𝒢 we introduce local super deformation of lattices in 𝒢 and show that for high weight the spaces of super automorphic and cusp forms are stable under such local super deformations.
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Super Automorphic Forms on the Super Upper Half Plane
arXiv: Complex Variables, 2009Co-Authors: Roland KnevelAbstract:The super Upper Half Plane, this is the ordinary Upper Half Plane with additional odd (anticommuting) directions, admits a transitive super action of a certain super Lie group G . First we define the spaces of super automorphic and cusp forms on the super Upper Half Plane for an ordinary lattice in G and give an asymptotic formula for their dimensions for high weight. For involving also the odd directions of G we introduce local super deformation of lattices in G and show that for high weight the spaces of super automorphic and cusp forms are stable under such local super deformations.
Mohammad Ali Ardalani - One of the best experts on this subject based on the ideXlab platform.
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On the isomorphism classification of spaces of 2π-periodic holomorphic functions on the Upper Half-Plane
Journal of Mathematical Analysis and Applications, 2018Co-Authors: Mohammad Ali ArdalaniAbstract:Abstract In this paper we obtain isomorphism classes of spaces of 2π-periodic holomorphic functions on the Upper Half-Plane endowed with L p norm with respect to a bounded positive non-atomic measure.
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boundedness of self map composition operators for two types of weights on the Upper Half Plane
Cogent Mathematics, 2016Co-Authors: Mohammad Ali ArdalaniAbstract:In this paper we find conditions for boundedness of self-map composition operators on weighted spaces of holomorphic functions on the Upper Half-Plane for two kinds of weights which are of moderate growth.
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An equivalent representation for weighted supremum norm on the Upper Half-Plane
International Journal of Nonlinear Analysis and Applications, 2014Co-Authors: Mohammad Ali ArdalaniAbstract:In this paper, rstly, we obtain some inequalities which estimates complex polynomials on the circles.Then, we use these estimates and a Moebius transformation to obtain the dual of this estimates forthe lines in Upper Half-Plane. Finally, for an increasing weight on the Upper Half-Plane withcertain properties and holomorphic functions f on the Upper Half-Plane we obtain an equivalentrepresentation for weighted supremum norm.
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BOUNDEDNESS OF COMPOSITION OPERATOR BETWEEN WEIGHTED SPACES OF HOLOMORPHIC FUNCTIONS ON THE Upper Half-Plane
Taiwanese Journal of Mathematics, 2014Co-Authors: Mohammad Ali ArdalaniAbstract:In this paper, we obtain a necessary and sufficient condition for boundedness of composition operator $ C_{\varphi}$, between two different weighted spaces of holomorphic functions on the Upper Half-Plane, whenever one of the weights satisfy certain growth condition.
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A remark on boundedness of composition operators between weighted spaces of holomorphic functions on the Upper Half-Plane
International Journal of Nonlinear Analysis and Applications, 2013Co-Authors: Mohammad Ali ArdalaniAbstract:In this paper, we obtain a sufficient condition for boundedness of composition operators between weighted spaces of holomorphic functions on the Upper Half-Plane whenever our weights are standard analytic weights, but they don’t necessarily satisfy any growth condition.
Cui Xue-wei - One of the best experts on this subject based on the ideXlab platform.
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Reproducing Kernel and Conjguate Space of Bergman Spaces on the Upper Half Plane
Journal of Shanxi University, 2007Co-Authors: Cui Xue-weiAbstract:The reproducing kernel of Bergman space on the Upper Half Plane was introduced.The boundedness of integral operator induced by reproducing kernel was studied.Moreover,the conjugate space of Bergman spaces was discussed.
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Boundedness of Bergman projection operator on the Upper Half Plane
Pure and Applied Mathematics, 2004Co-Authors: Cui Xue-weiAbstract:Bergman projection on the Upper Half Plane is defined. Boundedness of the operator is discussed.
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Reproducing kernel of Bergman space on the Upper Half Plane
Pure and Applied Mathematics, 2000Co-Authors: Cui Xue-weiAbstract:The completeness of Bergman space on the Upper Half pl ane is discussed,and the Reproducing kernel of Bergman space on the Upper Half Plane is given.The Reproducing range of Reproducing kemel is studied.
Ajay Sharma - One of the best experts on this subject based on the ideXlab platform.
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Compact Composition Operators on the Bloch Space and the Growth Space of the Upper Half-Plane
Mediterranean Journal of Mathematics, 2017Co-Authors: Ajay Sharma, Sei-ichiro UekiAbstract:In this paper, we prove that unlike Hardy and weighted Bergman spaces of the Upper Half-Plane, there are non-trivial analytic self-maps of the Upper Half-Plane that induce compact composition operators on the Bloch space of the Upper Half-Plane. Moreover, we also prove that like Hardy and weighted Bergman spaces of the Upper Half-Plane, the growth space of the Upper Half-Plane does not support compact composition operators.
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Weighted Composition Operators from Weighted Bergman Spaces to Weighted-Type Spaces on the Upper Half-Plane
Abstract and Applied Analysis, 2011Co-Authors: Stevo Stević, Ajay Sharma, S D SharmaAbstract:Let
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Weighted composition operators between Hardy and growth spaces on the Upper Half-Plane
Applied Mathematics and Computation, 2011Co-Authors: Stevo Stević, Ajay SharmaAbstract:Abstract Bounded weighted composition operators acting from Hardy to growth spaces on the Upper Half-Plane are characterized. We also give some necessary, as well as some sufficient conditions for the compactness of weighted composition operators between these spaces.
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composition operators between hardy and bloch type spaces of the Upper Half Plane
Bulletin of The Korean Mathematical Society, 2007Co-Authors: S D Sharma, Ajay Sharma, Shabir AhmedAbstract:In this paper, we study composition operators Cφf = f ◦ φ, induced by a fixed analytic self-map of the of the Upper Half-Plane, acting between Hardy and Bloch-type spaces of the Upper Half-Plane.
