Fatou theorem and its converse for positive eigenfunctions of the Laplace-Beltrami operator on harmonic \textit{NA} groups
DOI10.1007/s12220-023-01279-wzbMath1525.43006arXiv2105.04964WikidataQ123202058 ScholiaQ123202058MaRDI QIDQ6158261
Swagato K. Ray, Jayanta Sarkar
Publication date: 31 May 2023
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.04964
admissible convergenceFatou-type theoremsderivative of measureseigenfunctions of Laplace-Beltrami operatorharmonic \textit{NA} group
Convolution as an integral transform (44A35) Boundary behavior of harmonic functions in higher dimensions (31B25) Analysis on other specific Lie groups (43A80) Abstract differentiation theory, differentiation of set functions (28A15) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)
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