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The Dirichlet Problem on the Upper Half-Space [PDF]

open access: yesAbstract and Applied Analysis, 2012
A solution of the Dirichlet problem on the upper half-space is constructed by the generalized Dirichlet integral with a fast-growing continuous boundary function.
Jinjin Huang, Lei Qiao
doaj   +4 more sources

Some Hilbert spaces related with the Dirichlet space [PDF]

open access: yesConcrete Operators, 2016
We study the reproducing kernel Hilbert space with kernel kd , where d is a positive integer and k is the reproducing kernel of the analytic Dirichlet space.
Arcozzi Nicola   +4 more
doaj   +3 more sources

Bergman and Dirichlet spaces in the unit ball and symmetric lifting operator [PDF]

open access: yesAUT Journal of Mathematics and Computing, 2023
Let $\mathbb{B}_n$ be the open unit ball in $\mathbb{C}^n$ and $\mathbb{B}_n^2 = \mathbb{B}_n \times \mathbb{B}_n$. The symmetric lifting operator which lifts analytic functions from $H(\mathbb{B}_n)$ to $H(\mathbb{B}_n^2)$ is defined as follow\[L(f)(z,w)
Mostafa Hassanlou, Ebrahim Abbasi
doaj   +1 more source

Coefficient multipliers on spaces of vector-valued entire Dirichlet series [PDF]

open access: yesMathematica Bohemica, 2017
The spaces of entire functions represented by Dirichlet series have been studied by Hussein and Kamthan and others. In the present paper we consider the space $X$ of all entire functions defined by vector-valued Dirichlet series and study the properties ...
Sharma Akanksha, Girja S. Srivastava
doaj   +1 more source

Cyclicity in Dirichlet Spaces [PDF]

open access: yesCanadian Mathematical Bulletin, 2019
AbstractLet $\unicode[STIX]{x1D707}$ be a positive finite Borel measure on the unit circle and ${\mathcal{D}}(\unicode[STIX]{x1D707})$ the associated harmonically weighted Dirichlet space. In this paper we show that for each closed subset $E$ of the
Elmadani, Y., Labghail, I.
openaire   +2 more sources

Function spaces related to the Dirichlet space [PDF]

open access: yesJournal of the London Mathematical Society, 2010
We present results about spaces of holomorphic functions associated to the classical Dirichlet space. The spaces we consider have roles similar to the roles of $H^{1}$ and $BMO$ in the Hardy space theory and we emphasize those analogies.
Nicola Arcozzi   +3 more
openaire   +3 more sources

A family of Dirichlet–Morrey spaces [PDF]

open access: yesComplex Variables and Elliptic Equations, 2019
To each weighted Dirichlet space $\mathcal{D}_p ...
Galanopoulos, Petros   +2 more
openaire   +4 more sources

Approximation of Space-Time Fractional Equations

open access: yesFractal and Fractional, 2021
The aim of this paper is to provide approximation results for space-time non-local equations with general non-local (and fractional) operators in space and time.
Raffaela Capitanelli, Mirko D’Ovidio
doaj   +1 more source

A derivative-Hilbert operator acting on Dirichlet spaces

open access: yesOpen Mathematics, 2023
Let μ\mu be a positive Borel measure on the interval [0,1)\left[0,1). The Hankel matrix Hμ=(μn,k)n,k≥0{{\mathcal{ {\mathcal H} }}}_{\mu }={\left({\mu }_{n,k})}_{n,k\ge 0} with entries μn,k=μn+k{\mu }_{n,k}={\mu }_{n+k}, where μn=∫[0,1)tndμ(t){\mu }_{n}={
Xu Yun, Ye Shanli, Zhou Zhihui
doaj   +1 more source

On an entire function represented by multiple Dirichlet series [PDF]

open access: yesMathematica Bohemica, 2021
Consider the space $L$ of entire functions represented by multiple Dirichlet series that becomes a non uniformly convex Banach space which is also proved to be dense, countable and separable.
Lakshika Chutani
doaj   +1 more source

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