Characterizations of Fock-type spaces of eigenfunctions on Rn

Autor: Xi Fu, Xiaoqiang Xie
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: AIMS Mathematics, Vol 7, Iss 8, Pp 15550-15562 (2022)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2022852?viewType=HTML
Popis: In this paper, we prove a norm equivalence for an exponential type weighted integral of an eigenfunction and its derivative on Rn. As applications, we characterize Fock-type spaces of eigenfunctions on Rn in terms of Lipschitz type conditions and double integral conditions. These obtained results are extensions of the corresponding ones in classcial Fock space.
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