Results 71 to 80 of about 2,689 (164)

Kernel estimate and capacity in Dirichlet type spaces

, 2014
Let $ $ be a positive finite measure on the unit circle. The Dirichlet type space $\mathcal{D}( )$, associated to $ $, consists of holomorphic functions on the unit disc whose derivatives are square integrable when weighted against the Poisson integral of $ $. First, we give an estimate of the norm of the reproducing kernel $k^ $ of $\mathcal{D}(
El-Fallah, O., Elmadani, Y., Kellay, K.
openaire   +2 more sources

Dirichlet heat kernel estimates for rectilinear stable processes

Journal of Functional Analysis
This version contains more complete details and differs slightly from the published ...
Zhen-Qing Chen, Eryan Hu, Guohuan Zhao
openaire   +2 more sources

Boundary Value Problems for the Perturbed Dirac Equation

Axioms
The perturbed Dirac operators yield a factorization for the well-known Helmholtz equation. In this paper, using the fundamental solution for the perturbed Dirac operator, we define Cauchy-type integral operators (singular integral operators with a Cauchy
Hongfen Yuan, Guohong Shi, Xiushen Hu
doaj   +1 more source

Non-symmetric stable processes: Dirichlet heat kernel, Martin kernel and Yaglom limit

Stochastic Processes and their Applications
26 pages, 1 ...
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Materials Expert-Artificial Intelligence for materials discovery

Communications Materials
Advances in materials databases create an opportunity to uncover descriptors that predict emergent properties, yet most studies rely on high-throughput ab initio calculations that can diverge from experiment.
Yanjun Liu, Milena Jovanovic, Krishnanand Mallayya, Wesley J. Maddox, Andrew Gordon Wilson, Sebastian Klemenz, Leslie M. Schoop, Eun-Ah Kim   +7 more
doaj   +1 more source

Orthonormal Sets with Non-Negative Dirichlet Kernels. II [PDF]

Transactions of the American Mathematical Society, 1961
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Dirichlet heat kernel estimates for parabolic nonlocal equations

In this article we establish the optimal $C^s$ boundary regularity for solutions to nonlocal parabolic equations in divergence form in $C^{1,α}$ domains and prove a higher order boundary Harnack principle in this setting. Our approach applies to a broad class of nonlocal operators with merely Hölder continuous coefficients, but our results are new even
Svinger, Philipp, Weidner, Marvin
openaire   +3 more sources

Local linear smoothing for regression surfaces on the simplex using Dirichlet kernels. [PDF]

Stat Pap (Berl)
Genest C, Ouimet F.
europepmc   +1 more source

Logistic-Beta Processes for Dependent Random Probabilities with Beta Marginals. [PDF]

Bayesian Anal
Lee CJ, Zito A, Sang H, Dunson DB.
europepmc   +1 more source

Structural identifiability of linear-in-parameter parabolic PDEs through auxiliary elliptic operators. [PDF]

J Math Biol
Salmaniw Y, Browning AP.
europepmc   +1 more source