On a weighted inequality of Hardy type in spaces Lp(.)
| dc.contributor.author | Mamedov, Farman I. | |
| dc.contributor.author | Harman, Aziz | |
| dc.date.accessioned | 2024-04-24T16:15:08Z | |
| dc.date.available | 2024-04-24T16:15:08Z | |
| dc.date.issued | 2009 | |
| dc.department | Dicle Üniversitesi | en_US |
| dc.description.abstract | The boundedness of Hardy type operator Hf (x) = integral((t is an element of R)n(:) (vertical bar t vertical bar <=vertical bar x vertical bar)) f(t)dt is studied in weighted variable exponent Lebesgue spaces L-p(.). The necessary and sufficient criterion established on the weight functions v(x), omega(x) and exponents p(x). q(x) for the Hardy operator to be bounded from L-p(.)(omega) to L-q(.)(v). The exponents satisfy a modified logarithmic condition near zero and at infinity: there exists delta > 0, there exists integral(infinity), there exists f(0) is an element of R sup(x is an element of B(o,delta)) vertical bar f(x) - f (0)vertical bar In I/W(x) < infinity: there exists N > 1 sup(x is an element of R)n(\B(0,N)) vertical bar f(x) - f(infinity)vertical bar In W(x) < infinity, where W(x) = integral({t is an element of R)n(:) (vertical bar t vertical bar <=vertical bar x vertical bar})omega(-1/(p(t)-1))(t)dt. (C) 2008 Elsevier Inc. All rights reserved. | en_US |
| dc.description.sponsorship | INTAS [8792] | en_US |
| dc.description.sponsorship | The author was supported by INTAS grant South-Caucasian Republics, No. 8792. | en_US |
| dc.identifier.doi | 10.1016/j.jmaa.2008.12.029 | |
| dc.identifier.endpage | 530 | en_US |
| dc.identifier.issn | 0022-247X | |
| dc.identifier.issn | 1096-0813 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.scopus | 2-s2.0-58549102471 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.startpage | 521 | en_US |
| dc.identifier.uri | https://doi.org/10.1016/j.jmaa.2008.12.029 | |
| dc.identifier.uri | https://hdl.handle.net/11468/15668 | |
| dc.identifier.volume | 353 | en_US |
| dc.identifier.wos | WOS:000265224900005 | |
| dc.identifier.wosquality | Q1 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | en_US |
| dc.publisher | Academic Press Inc Elsevier Science | en_US |
| dc.relation.ispartof | Journal of Mathematical Analysis and Applications | |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Hardy Operator | en_US |
| dc.subject | Hardy Inequality | en_US |
| dc.subject | Variable Exponents | en_US |
| dc.subject | Weighted Inequality | en_US |
| dc.title | On a weighted inequality of Hardy type in spaces Lp(.) | en_US |
| dc.title | On a weighted inequality of Hardy type in spaces Lp(.) | |
| dc.type | Article | en_US |
