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Funktsional'nyi Analiz i ego Prilozheniya, 2021, Volume 55, Issue 2, Pages 55–64
DOI: https://doi.org/10.4213/faa3873 (Mi faa3873) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Hardy inequality for antisymmetric functions

T. Hoffmann-Ostenhofa, A. A. Laptevbc

a University of Vienna
b Imperial College London
c Sirius Mathematics Center
Full-text PDF (582 kB) Citations (4)
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DOI: https://doi.org/10.4213/faa3873
Abstract: We consider Hardy inequalities on antisymmetric functions. Such inequalities have substantially better constants. We show that they depend on the lowest degree of an antisymmetric harmonic polynomial. This allows us to obtain some Caffarelli–Kohn–Nirenberg-type inequalities that are useful for studying spectral properties of Schrödinger operators.
Received: 05.01.2021
Revised: 02.03.2021
Accepted: 15.03.2021
English version:
Functional Analysis and Its Applications, 2021, Volume 55, Issue 2, Pages 122–129
DOI: https://doi.org/10.1134/S0016266321020040
Bibliographic databases:
Document Type: Article
UDC: 517.518.28
Language: Russian
Citation: T. Hoffmann-Ostenhof, A. A. Laptev, “Hardy inequality for antisymmetric functions”, Funktsional. Anal. i Prilozhen., 55:2 (2021), 55–64; Funct. Anal. Appl., 55:2 (2021), 122–129
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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    Abstract page:308
    Full-text PDF :81
    References:28
    First page:26
     
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