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Weighted estimates for the averaging integral operator and reverse Hölder inequalities
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SYSNO ASEP 0348195 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Weighted estimates for the averaging integral operator and reverse Hölder inequalities Author(s) Opic, Bohumír (MU-W) SAI Source Title Progress in Analysis and its Applications. Proceedings of the 7th International ISAAC Congress. - New Jersey : World Scientific, 2010 / Ruzhansky M. ; Wirth J. - ISBN 978-981-4313-16-2 Pages s. 315-321 Number of pages 7 s. Action 7th International ISAAC Congress Event date 13.07.2009-18.07.2009 VEvent location London Country GB - United Kingdom Event type WRD Language eng - English Country US - United States Keywords averaging integral operator ; weighted Lebesgue spaces ; weights ; Hardy-type inequalities ; reverse Hölder inequalities Subject RIV BA - General Mathematics R&D Projects GA201/08/0383 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10190503 - MU-W (2005-2011) Annotation We show that the boundedness of the averaging operator A on the space Lp(v) implies that, for all r>0, the weight v(1-p) satisfies the reverse Hölder inequality over the interval (0,r) with respect to the measure dt, while the weight v satisfies the reverse Hölder inequality over the interval (r, +...) with rečspect to the measure t(-p)dt. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2011
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