Results 61 to 70 of about 5,186,045 (202)

Toeplitz Operators on the Dirichlet Space of 𝔹n

Abstract and Applied Analysis, 2012
We study the algebraic properties of Toeplitz operators on the Dirichlet space of the unit ball 𝔹n. We characterize pluriharmonic symbol for which the corresponding Toeplitz operator is normal or isometric.
HongZhao Lin, YuFeng Lu
doaj   +1 more source

The Dirichlet Problem in Weight Spaces [PDF]

Journal of Mathematical Sciences, 2004
The paper concerns the solvability of the Dirichlet problem for quasilinear second order elliptic equations of non-divergence form with unbounded singularities in a domain \(\Omega\subset \mathbb R^n\). The main result is the following.
Apushkinskaya, D. E., Nazarov, A. I.
openaire   +2 more sources

Eigenmode analysis of the electromagnetic field scattered by an elliptic cone [PDF]

Advances in Radio Science, 2011
The vector spherical-multipole analysis is applied to determine the scattering of a plane electromagnetic wave by a perfectly electrically conducting (PEC) semi-infinite elliptic cone.
M. Kijowski, L. Klinkenbusch
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Various Half-Eigenvalues of Scalar p-Laplacian with Indefinite Integrable Weights

Abstract and Applied Analysis, 2009
Consider the half-eigenvalue problem (ϕp(x′))′+λa(t)ϕp(x+)−λb(t)ϕp(x−)=0 a.e.
Wei Li, Ping Yan
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The Dirichlet problem and weighted spaces. II. [PDF]

Časopis pro pěstování matematiky, 1983
[For part I see ibid. 108, 381-408 (1983; Zbl 0589.35016).] The paper is closely connected with Part I. First, it is shown how to use the results obtained in part I for elliptic differential operators which have strong singularities or which are strongly degenerated: it suffices to modify in an appropriate manner the definition of the weighted spaces ...
Kufner, Alois, Opic, Bohumír
openaire   +4 more sources

Boundary Value Problems for the Three-Dimensional Helmholtz Equation in the Unbounded Octant, Square and Half Space

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
At present, the results of the study of boundary value problems for the two-dimensional Helmholtz equation with one and two singular coefficients are known.
Arzikulov, Z.O.
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Toeplitz Operators on Dirichlet-Type Space of Unit Ball

Abstract and Applied Analysis, 2014
We construct a function u in L2Bn, dV which is unbounded on any neighborhood of each boundary point of Bn such that Toeplitz operator Tu is a Schatten p-class ...
Jin Xia, Xiaofeng Wang, Guangfu Cao
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Leray-Schauder’s solution for a nonlocal problem in a fractional Orlicz-Sobolev space

Moroccan Journal of Pure and Applied Analysis, 2020
Via Leray-Schauder’s nonlinear alternative, we obtain the existence of a weak solution for a nonlocal problem driven by an operator of elliptic type in a fractional Orlicz-Sobolev space, with homogeneous Dirichlet boundary conditions.
Boumazourh Athmane, Srati Mohammed
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Dirichlet Spaces and Strong Markov Processes [PDF]

Transactions of the American Mathematical Society, 1971
We show that there exists a suitable strong Markov process on the underlying space of each regular Dirichlet space. Potential theoretic concepts due to A. Beurling and J. Deny are then described in terms of the associated strong Markov process. The proof is carried out by developing potential theory for Dirichlet spaces and symmetric Ray processes and ...
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The essential norm of a composition operator mapping into Qk type spaces

Journal of Function Spaces and Applications, 2008
An asymptotic formula for the essential norm of the composition operator Cφ(f):=f∘φ, induced by an analytic self-map φ of the unit disc, mapping from the α-Bloch space ℬα or the Dirichlet type space Dαp into Qk(p,q) is established in terms of an integral
Marko Kotilainen, Jouni Rättyä
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