ANALYSIS IN THE MULTI‐DIMENSIONAL BALL

DOI10.1112/S0025579318000372zbMath1410.42022arXiv1803.06195OpenAlexW2790427960MaRDI QIDQ3121300

Peter Sjögren, Tomasz Zachary Szarek

Publication date: 15 March 2019

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.06195

zbMATH Keywords

heat kernelGaussian boundsheat semigroup maximal operator

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Dirichlet forms (31C25) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (5)

Genuinely sharp heat kernel estimates on compact rank-one symmetric spaces, for Jacobi expansions, on a ball and on a simplex ⋮ Maximal functions and multiplier theorem for Fourier orthogonal series ⋮ Fourier orthogonal series on a paraboloid ⋮ Gaussian bounds for the heat kernel associated to prolate spheroidal wave functions with applications ⋮ Orthogonal structure and orthogonal series in and on a double cone or a hyperboloid

Cites Work

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• The Poisson operator for orthogonal polynomials in the multidimensional ball
• Dirichlet forms and symmetric Markov processes.
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• Heat kernel generated frames in the setting of Dirichlet spaces
• Gaussian bounds for the weighted heat kernels on the interval, ball, and simplex
• Approximation Theory and Harmonic Analysis on Spheres and Balls
• Gaussian bounds for the heat kernels on the ball and the simplex: classical approach
• On the relation between elliptic and parabolic Harnack inequalities

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