Extensions of Hardy-type inequalities for the generalized Mehler–Fock transform

Yehao Shi

Elementary Education College, Capital Normal University, Beijing 100048, China

Abstract: The purpose of the paper is to improve Hardy-type inequalities for the generalized Mehler–Fock transform on the real Hardy space $H^p$, $0<p\le1$.

Key words and phrases: generalized Mehler–Fock transform, Hardy space, Hardy inequality.

MSC: Primary 44A20, 42A38; Secondary 42B30, 43A90

Language: English

DOI: 10.17323/1609-4514-2018-18-1-181-186

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