Hardy Spaces of Heat Functions

DOI10.2307/2000672zbMath0633.31002OpenAlexW4244737558MaRDI QIDQ3770795

H. S. Bear

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000672

zbMATH Keywords

maximum principleHardy spaceheat equationintegral kernelparabolic coordinatesabstract harmonic functionsBear-Gleason kernellocal Phragmén-Lindelöf theoremparabolically star-shaped

Mathematics Subject Classification ID

Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items (2)

Boundary values of vector-valued Hardy spaces on nonsmooth domains and the Radon-Nikodym property ⋮ Liouville theorems for heat functions

Cites Work

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• On the existence of boundary values for harmonic functions in several variables
• Wiener's criterion for the heat equation
• Sulla soluzione generalizzata di Wiener per il primo problema di valori al contorno nel caso parabolico
• Extension à l'équation de la chaleur d'un théorème de A. Harnack
• A harnack inequality for parabolic differential equations
• On the Boundary Values of Harmonic Functions
• Positive Harmonic Functions on Lipschitz Domains
• Kernel functions and parabolic limits for the heat equation
• Temperatures in Several Variables: Kernel Functions, Representations, and Parabolic Boundary Values
• On the Solutions of the Equation of Heat Conduction

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