On a class of sharp multiplicative Hardy inequalities | Zendy

D. Guzu | Zendy; Thomas Hoffmann-Ostenhof | Zendy; Ари Лаптев | Zendy

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On a class of sharp multiplicative Hardy inequalities

Author(s) -

D. Guzu,

Thomas Hoffmann-Ostenhof,

Ари Лаптев

Publication year - 2021

Publication title -

st petersburg mathematical journal

Language(s) - English

Resource type - Journals

eISSN - 1547-7371

pISSN - 1061-0022

DOI - 10.1090/spmj/1659

Subject(s) - mathematics , eigenvalues and eigenvectors , multiplicative function , class (philosophy) , pure mathematics , mathematical analysis , constant (computer programming) , type (biology) , legendre polynomials , block (permutation group theory) , combinatorics , ecology , physics , quantum mechanics , artificial intelligence , computer science , biology , programming language

A class of weighted Hardy inequalities is treated. The sharp constants depend on the lowest eigenvalues of auxiliary Schrödinger operators on a sphere. In particular, for some block radial weights these sharp constants are given in terms of the lowest eigenvalue of a Legendre type equation.

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