Results 21 to 30 of about 5,186,045 (202)
Random Interpolating Sequences in Dirichlet Spaces [PDF]
International Mathematics Research Notices, 2021 Abstract We discuss random interpolating sequences in weighted Dirichlet spaces ${{\mathcal{D}}}_\alpha $, $0\leq \alpha \leq 1$, when the radii of the sequence points are fixed a priori and the arguments are uniformly distributed. Although conditions for deterministic interpolation in these spaces depend on capacities, which are very ...
Chalmoukis, Nikolaos +3 more
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Reducing Subspaces of Multiplication Operators on the Dirichlet Space [PDF]
, 2016 In this paper, we study the reducing subspaces for the multiplication operator by a finite Blaschke product $${\phi}$$ϕ on the Dirichlet space D. We prove that any two distinct nontrivial minimal reducing subspaces of $${M_\phi}$$Mϕ are orthogonal.
S. Luo
semanticscholar +1 more source
Free energy and defect C-theorem in free scalar theory
Journal of High Energy Physics, 2021 We describe conformal defects of p dimensions in a free scalar theory on a d-dimensional flat space as boundary conditions on the conformally flat space ℍ p+1 × 𝕊 d−p−1.
Tatsuma Nishioka, Yoshiki Sato
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On approximating initial data in some linear evolutionary equations involving fraction Laplacian
Mathematics in Applied Sciences and Engineering, 2022 We study an inverse problem of recovering the intial datum in a one-dimensional linear equation with Dirichlet boundary conditions when finitely many values (samples) of the solution at a suitably fixed space loaction and suitably chosen finitely many ...
Ramesh Karki
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One-box conditions for Carleson measures for the Dirichlet space [PDF]
, 2014 We give a simple proof of the fact that a finite measure $\mu$ on the unit disk is a Carleson measure for the Dirichlet space if it satisfies the Carleson one-box condition $\mu(S(I))=O(\phi(|I|))$, where $\phi: (0, 2 ] \to (0,1)$ is an increasing ...
O. El-Fallah +3 more
semanticscholar +1 more source
Better latent spaces for better autoencoders
SciPost Physics, 2021 Autoencoders as tools behind anomaly searches at the LHC have the structural problem that they only work in one direction, extracting jets with higher complexity but not the other way around.
Barry M. Dillon, Tilman Plehn, Christof Sauer, Peter Sorrenson
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A family of Dirichlet–Morrey spaces [PDF]
Complex Variables and Elliptic Equations, 2019 To each weighted Dirichlet space $\mathcal{D}_p ...
Galanopoulos, Petros +2 more
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Hyponormal Toeplitz Operators on the Dirichlet Spaces
Abstract and Applied Analysis, 2013 We completely characterize the hyponormality of bounded Toeplitz operators with Sobolev symbols on the Dirichlet space and the harmonic Dirichlet space.
Puyu Cui, Yufeng Lu
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Interior Regularity Estimates for a Degenerate Elliptic Equation with Mixed Boundary Conditions
Axioms, 2018 The Marchaud fractional derivative can be obtained as a Dirichlet-to–Neumann map via an extension problem to the upper half space. In this paper we prove interior Schauder regularity estimates for a degenerate elliptic equation with mixed Dirichlet ...
Jean-Daniel Djida, Arran Fernandez
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The Dirichlet Problem on the Upper Half-Space
Abstract 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
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