Weighted estimates for the averaging integral operator and reverse Hölder inequalities
Result description
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.
Keywords
averaging integral operatorweighted Lebesgue spacesweightsHardy-type inequalitiesreverse Hölder inequalities
The result's identifiers
Result code in IS VaVaI
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Weighted estimates for the averaging integral operator and reverse Hölder inequalities
Original language description
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.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
GA201/08/0383: Function Spaces, Weighted Inequalities and Interpolation
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2010
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Progress in Analysis and its Applications. Proceedings of the 7th International ISAAC Congress
ISBN
978-981-4313-16-2
ISSN
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e-ISSN
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Number of pages
7
Pages from-to
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Publisher name
World Scientific
Place of publication
New Jersey
Event location
London
Event date
Jul 13, 2009
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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Basic information
Result type
D - Article in proceedings
CEP
BA - General mathematics
Year of implementation
2010