Year: 2022
Communications in Mathematical Research , Vol. 38 (2022), Iss. 4 : pp. 535–559
Abstract
In this paper, we consider the first order Hardy inequalities using simple equalities. This basic setting not only permits to derive quickly many well-known Hardy inequalities with optimal constants, but also supplies improved or new estimates in miscellaneous situations, such as multipolar potential, the exponential weight, hyperbolic space, Heisenberg group, the edge Laplacian, or the Grushin type operator.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmr.2021-0085
Communications in Mathematical Research , Vol. 38 (2022), Iss. 4 : pp. 535–559
Published online: 2022-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 25
Keywords: First order Hardy inequality inequality via equality generalized Bessel pair.