Results 71 to 80 of about 5,186,045 (202)

Univalent multipliers of the Dirichlet space.

Michigan Mathematical Journal, 1985
Let G be a connected open set in the complex plane, and fix a distinguished point \(z_ 0\in G\). The Bergman space B(G) is the set of analytic functions f on G such that the integral of \(| f|^ 2\) on G (with respect to area measure) is finite. The Dirichlet space D(G) is the set of analytic functions f on G such that f'\(\in B(G).\) This paper proves ...
Axler, Sheldon, Shields, Allen L.
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Heat-Semigroup-Based Besov Capacity on Dirichlet Spaces and Its Applications

Mathematics
In this paper, we investigate the Besov space and the Besov capacity and obtain several important capacitary inequalities in a strictly local Dirichlet space, which satisfies the doubling condition and the weak Bakry–Émery condition.
Xiangyun Xie, Haihui Wang, Yu Liu
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On Joint Distribution of General Dirichlet Series

Nonlinear Analysis, 2003
In the paper a joint limit theorem in the sense of the weak convergence in the space of meromorphic functions for general Dirichlet series is proved under weaker conditions as in [1].
J. Genys, A. Laurinčikas
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Infinite dimension of solutions of the Dirichlet problem

Open Mathematics, 2015
It is proved that the space of solutions of the Dirichlet problem for the harmonic functions in the unit disk with nontangential boundary limits 0 a.e. has the infinite dimension.
Ryazanov Vladimir
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Characterizations of a Class of Dirichlet-Type Spaces and Related Operators

Journal of Mathematics, 2020
In this paper, some characterizations are given in terms of the boundary value and Poisson extension for the Dirichlet-type space Dμ. The multipliers of Dμ and Hankel-type operators from Dμ to L2PμdA are also investigated.
Xiaosong Liu, Songxiao Li
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Variable Exponent Spaces of Differential Forms on Riemannian Manifold

Journal of Function Spaces and Applications, 2012
We introduce the Lebesgue space and the exterior Sobolev space for differential forms on Riemannian manifold 𝑀 which are the Lebesgue space and the Sobolev space of functions on 𝑀, respectively, when the degree of differential forms to be zero.
Yongqiang Fu, Lifeng Guo
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DIRICHLET SPACES [PDF]

Proceedings of the National Academy of Sciences, 1959
Beurling, A., Deny, Jacques
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Intersection of harmonically weighted Dirichlet spaces

Comptes Rendus. Mathématique, 2017
In 1991, S. Richter introduced harmonically weighted Dirichlet spaces D(μ), motivated by his study of cyclic analytic two-isometries. In this paper, we consider ⋂μ∈PD(μ), the intersection of D(μ) spaces, where P is the family of Borel probability measures. Several function-theoretic characterizations of the Banach space ⋂μ∈PD(μ) are given. We also show
Bao, Guanlong, Göğüş, Nihat Gökhan, Pouliasis, Stamatis   +2 more
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The Eigenfunction Expansion for a Dirichlet Problem with Explosive Factor

Abstract and Applied Analysis, 2011
We prove the eigenfunction expansion formula for a Dirichlet problem with explosive factor by two ways, first by standard method and second by proving a convergence in some metric space 𝐿2(0,𝜋;𝜌(𝑥)).
Zaki F. A. El-Raheem, A. H. Nasser
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Cyclic m‐isometries and Dirichlet type spaces [PDF]

Journal of the London Mathematical Society, 2018
Version incorporates the referee's comments, and some other adjustments.
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