R. G. Nasibullin, “Brezis–Marcus type inequalities with Lamb constant”, Sib. Èlektron. Mat. Izv., 16 (2019), 449

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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2019, Volume 16, Pages 449–464
DOI: https://doi.org/10.33048/semi.2019.16.027 (Mi semr1070)

This article is cited in 7 scientific papers (total in 7 papers)

Real, complex and functional analysis

Brezis–Marcus type inequalities with Lamb constant

R. G. Nasibullin

Kazan Federal University, 18, Kremlyovskaya str., Kazan, 420008, Russia

Full-text PDF (191 kB) Citations (7)

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DOI: https://doi.org/10.33048/semi.2019.16.027

Abstract: Hardy-type inequalities with an additional term are proved for compactly supported smooth functions on open convex sets in the Euclidean space. We obtain one-dimensional

L_{p}

$L_p$ -inequalities and their multidimensional analogs on arbitrary domains, on regular sets, on domains with

θ

$\theta$ -cone condition and on convex domains. We use Bessel's function and the Lamb constant.

Keywords: Hardy inequality, additional term, Bessel function, Lamb constant, distance function, inner radius.

Funding agency	Grant number
Russian Science Foundation	18-11-00115
This work is supported by the Russian Science Foundation under grant № 18-11-00115.

Received December 30, 2018, published April 2, 2019

Bibliographic databases:

Document Type: Article

UDC: 517.5

MSC: 26D15

Language: English

Citation: R. G. Nasibullin, “Brezis–Marcus type inequalities with Lamb constant”, Sib. Èlektron. Mat. Izv., 16 (2019), 449–464

Citation in format AMSBIB

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\by R.~G.~Nasibullin

\paper Brezis--Marcus type inequalities with Lamb constant

\jour Sib. \`Elektron. Mat. Izv.

\yr 2019

\vol 16

\pages 449--464

\mathnet{http://mi.mathnet.ru/semr1070}

\crossref{https://doi.org/10.33048/semi.2019.16.027}

\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000463139000001}

Linking options:

https://www.mathnet.ru/eng/semr1070

https://www.mathnet.ru/eng/semr/v16/p449

This publication is cited in the following 7 articles:

Nasibullin R., “Hardy and Rellich Type Inequalities With Remainders”, Czech. Math. J., 72:1 (2022), 87–110
R. G. Nasibullin, “One-dimensional $L_p$ -Hardy-type inequalities for special weight functions and their applications”, Ufa Math. J., 14:3 (2022), 97–116
R. G. Nasibullin, “Hardy type inequalities with additional terms”, Russian Math. (Iz. VUZ), 66:11 (2022), 46–78
R. G. Nasibullin, R. V. Makarov, “Hardy's inequalities with remainders and lamb-type equations”, Siberian Math. J., 61:6 (2020), 1102–1119
R. V. Makarov, R. G. Nasibullin, G. R. Shaymardanova, “Weighted Hardy type inequalities and parametric Lamb equation”, Lobachevskii J. Math., 41:11, SI (2020), 2198–2210
R. V. Makarov, R. G. Nasibullin, “Hardy type inequalities and parametric Lamb equation”, Indag. Math.-New Ser., 31:4 (2020), 632–649
Nasibullin R.G., “Multidimensional Hardy Type Inequalities With Remainders”, Lobachevskii J. Math., 40:9, SI (2019), 1383–1396

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

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