ON SOME NONUNIFORM CASES OF THE WEIGHTED SOBOLEV AND POINCARE INEQUALITIES
| dc.contributor.author | Mamedov, F. I. | |
| dc.contributor.author | Amanov, R. A. | |
| dc.date.accessioned | 2024-04-24T17:08:03Z | |
| dc.date.available | 2024-04-24T17:08:03Z | |
| dc.date.issued | 2009 | |
| dc.department | Dicle Üniversitesi | en_US |
| dc.description.abstract | Weighted inequalities parallel to f parallel to(q,nu,B0) <= C Sigma(n)(j=1) parallel to f(xj)parallel to(p,omega j,B0) of Sobolev type (supp f subset of B-0) and of Poincare type ((f) over bar (nu,B0) = 0) are studied, with different weight functions for each partial derivative f(xj), for parallelepipeds B-0 subset of E-n, n >= 1. Also, weighted inequalities parallel to f parallel to(q,nu) <= C parallel to X f parallel to(p,omega) of the same type are considered for vector fields X = {X-j}, j = 1,..., m, with infinitely differentiable coefficients satisfying the Hormander condition. | en_US |
| dc.description.sponsorship | INTAS [8792] | en_US |
| dc.description.sponsorship | The work of the first author was supported in part by INTAS (grant no. 8792). | en_US |
| dc.identifier.doi | 10.1090/S1061-0022-09-01055-3 | |
| dc.identifier.endpage | 463 | en_US |
| dc.identifier.issn | 1061-0022 | |
| dc.identifier.issn | 1547-7371 | |
| dc.identifier.issue | 3 | en_US |
| dc.identifier.startpage | 447 | en_US |
| dc.identifier.uri | https://doi.org/10.1090/S1061-0022-09-01055-3 | |
| dc.identifier.uri | https://hdl.handle.net/11468/17177 | |
| dc.identifier.volume | 20 | en_US |
| dc.identifier.wos | WOS:000267497700006 | |
| dc.identifier.wosquality | N/A | |
| dc.indekslendigikaynak | Web of Science | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer Mathematical Soc | en_US |
| dc.relation.ispartof | St Petersburg Mathematical Journal | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Sobolev And Poincare Inequalities | en_US |
| dc.subject | Carnot-Caratheodory Metric | en_US |
| dc.subject | Besicovitch Property | en_US |
| dc.title | ON SOME NONUNIFORM CASES OF THE WEIGHTED SOBOLEV AND POINCARE INEQUALITIES | en_US |
| dc.title | ON SOME NONUNIFORM CASES OF THE WEIGHTED SOBOLEV AND POINCARE INEQUALITIES | |
| dc.type | Article | en_US |
