F. G. Avkhadiev, “Sharp constants in Hardy type inequalities”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 10, 61–65; Russian Math. (Iz. VUZ), 59:10 (2015), 53

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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 10, Pages 61–65 (Mi ivm9044)

This article is cited in 6 scientific papers (total in 6 papers)

Brief communications

Sharp constants in Hardy type inequalities

F. G. Avkhadiev

Chair of Function Theory and Approximations, Kazan (Volga Region) Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia

Full-text PDF (181 kB) Citations (6)

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Abstract: We prove new weighted Hardy type inequalities with sharp constants and describe their applications to inequalities in multidimensional domains.

Keywords: Hardy type inequalities, hypergeometric functions, distance function, Hardy constants, non-convex domains.

Received: 17.06.2015

English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, Volume 59, Issue 10, Pages 53–56
DOI: https://doi.org/10.3103/S1066369X15100060

Bibliographic databases:

Document Type: Article

UDC: 517.5+517.956

Language: Russian

Citation: F. G. Avkhadiev, “Sharp constants in Hardy type inequalities”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 10, 61–65; Russian Math. (Iz. VUZ), 59:10 (2015), 53–56

Citation in format AMSBIB

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\jour Izv. Vyssh. Uchebn. Zaved. Mat.

\yr 2015

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\pages 61--65

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\transl

\jour Russian Math. (Iz. VUZ)

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\issue 10

\pages 53--56

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Linking options:

https://www.mathnet.ru/eng/ivm9044

https://www.mathnet.ru/eng/ivm/y2015/i10/p61

This publication is cited in the following 6 articles:

F. G. Avkhadiev, “Hardy-type inequalities with sharp constants in domains lambda-close to convex”, Siberian Math. J., 63:3 (2022), 395–411
Robinson D.W., “The Weighted Hardy Constant”, J. Funct. Anal., 281:8 (2021), 109143
Robinson D.W., “The Weighted Hardy Inequality and Self-Adjointness of Symmetric Diffusion Operators”, J. Funct. Anal., 281:4 (2021), 109067
D. W. Robinson, “Hardy and rellich inequalities on the complement of convex sets”, J. Aust. Math. Soc., 108:1 (2020), 98–119
F. G. Avkhadiev, “Rellich inequalities for polyharmonic operators in plane domains”, Sb. Math., 209:3 (2018), 292–319
F. G. Avkhadiev, “Rellich type inequalities in domains of the Euclidean space”, Russian Math. (Iz. VUZ), 60:1 (2016), 60–63

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Известия высших учебных заведений. Математика

Russian Mathematics (Izvestiya VUZ. Matematika)

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Abstract page:	349
Full-text PDF :	106
References:	70
First page:	14

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