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Calderón-type theorems for operators of non-standard endpoint behavior
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SYSNO ASEP 0329979 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Calderón-type theorems for operators of non-standard endpoint behavior Title Věty Calderonova typu pro operátory s nestandardním charakterem Author(s) Gogatishvili, Amiran (MU-W) RID, ORCID, SAI
Pick, L. (CZ)Source Title Indiana University Mathematics Journal. - : Indiana University - ISSN 0022-2518
Roč. 58, č. 4 (2009), s. 1831-1852Number of pages 22 s. Language eng - English Country US - United States Keywords Calderón theorem ; interpolation segment ; nonincreasing rearrangement ; endpoint estimates Subject RIV BA - General Mathematics R&D Projects GA201/05/2033 GA ČR - Czech Science Foundation (CSF) GA201/08/0383 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000269448000013 Annotation In the paper we prove Calderón-type theorems for operators whose endpoint bahaviours on Lorentz spaces is different from the classical one. The results are applied to, for instance fractional maximal operator, weighted Hardy operators, Sobolev embeddings and or boundary trace embeddings. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2010
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