On a general weighted Hardy type inequality in the variable exponent Lebesgue spaces
| dc.contributor.author | Cruz-Uribe, David | |
| dc.contributor.author | Mamedov, Farman I. | |
| dc.date.accessioned | 2024-04-24T16:02:51Z | |
| dc.date.available | 2024-04-24T16:02:51Z | |
| dc.date.issued | 2012 | |
| dc.department | Dicle Üniversitesi | en_US |
| dc.description.abstract | We study the Hardy type, two-weight inequality for the multidimensional Hardy operator in the variable exponent Lebesgue space L (p(.))(R-n ). We prove equivalent conditions for L-p(.) -> L-q(.) boundness of the Hardy operator in the case of so called mixed exponents: q(0) >= p(0), q(infinity) < p (infinity) or q(0) < p(0), q(infinity) >= p(infinity). We show that a necessary and sufficient condition for such an inequality to hold coincides with conditions for the validity of two weight Hardy inequalities with constant exponents, provided that the exponents are regular at zero and at infinity. | en_US |
| dc.identifier.doi | 10.1007/s13163-011-0076-5 | |
| dc.identifier.endpage | 367 | en_US |
| dc.identifier.issn | 1139-1138 | |
| dc.identifier.issn | 1988-2807 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.scopus | 2-s2.0-84866361878 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.startpage | 335 | en_US |
| dc.identifier.uri | https://doi.org/10.1007/s13163-011-0076-5 | |
| dc.identifier.uri | https://hdl.handle.net/11468/14935 | |
| dc.identifier.volume | 25 | en_US |
| dc.identifier.wos | WOS:000305478800002 | |
| dc.identifier.wosquality | Q4 | |
| dc.indekslendigikaynak | Web of Science | |
| dc.indekslendigikaynak | Scopus | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer-Verlag Italia Srl | en_US |
| dc.relation.ispartof | Revista Matematica Complutense | |
| 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 Exponent Lebesgue Space | en_US |
| dc.subject | Weighted Norm Inequality | en_US |
| dc.title | On a general weighted Hardy type inequality in the variable exponent Lebesgue spaces | en_US |
| dc.title | On a general weighted Hardy type inequality in the variable exponent Lebesgue spaces | |
| dc.type | Article | en_US |
