Hardy and Rellich type inequalities with two weight functions

Autor:	Semra Ahmetolan, Ismail Kombe
Přispěvatelé:	Bölüm Yok
Rok vydání:	2016
Předmět:	Pure mathematics Inequality Applied Mathematics General Mathematics media_common.quotation_subject Mathematical analysis Type (model theory) Hardy inequality with two weight functions Rellich inequality with two weight functions Sharp constan Mathematics media_common
Zdroj:	Mathematical Inequalities & Applications. :937-948
ISSN:	1331-4343
DOI:	10.7153/mia-19-68
Popis:	In the present paper we prove several sharp two-weight Hardy, Hardy-Poinca?e, and Rellich type inequalities on the sub-Riemannian manifold R2n+1 = Rn x Rn xR defined by the vector fields: Xj = ? /? xj +2kyj |z|2k?2 ?/ ? l Yj = ? /? yj ?2kxj |z|2k?2?/ ? l, j = 1,2, ..,n where (z,y) = (x,y, l) ? R2n+1 , |z| = (|x|2 +|y|2)1/2 and k ? 1.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::87524f697544436083e9b654710c18c7 https://doi.org/10.7153/mia-19-68 Zobrazit plný text záznamu