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Matematicheskie Zametki, 2007, Volume 81, Issue 3, Pages 361–373
DOI: https://doi.org/10.4213/mzm3679
(Mi mzm3679)
 

This article is cited in 5 scientific papers (total in 5 papers)

On the Reverse Hölder Inequality

A. A. Korenovskii

Institute of Mathematics, Ecomonics and Mechanics, Odessa State University
Full-text PDF (489 kB) Citations (5)
References:
Abstract: We obtain exact positive and negative exponents of integrability of a function satisfying the reverse weighted Hölder inequality on parallelepipeds.
Keywords: reverse Hölder inequality, Gehring's function class, Muckenhoupt's function class, Hardy's inequality, exponent of integrability.
Received: 15.04.2005
Revised: 30.09.2006
English version:
Mathematical Notes, 2007, Volume 81, Issue 3, Pages 318–328
DOI: https://doi.org/10.1134/S0001434607030066
Bibliographic databases:
UDC: 517.5
Language: Russian
Citation: A. A. Korenovskii, “On the Reverse Hölder Inequality”, Mat. Zametki, 81:3 (2007), 361–373; Math. Notes, 81:3 (2007), 318–328
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm3679
  • https://doi.org/10.4213/mzm3679
  • https://www.mathnet.ru/eng/mzm/v81/i3/p361
  • This publication is cited in the following 5 articles:
    1. Formica M.R., Pietroluongo M., “Bi-Sobolev Homeomorphisms and B-P(Q) Classes”, Ric. Mat., 66:2 (2017), 313–332  crossref  mathscinet  zmath  isi  scopus
    2. Ruslan Shanin, “Equimeasurable rearrangements of functions satisfying the reverse Hölder or the reverse Jensen inequality”, Ricerche mat., 64:1 (2015), 217  crossref
    3. Didenko V.D., Korenovskyi A.A., “Power Means and the Reverse Holder Inequality”, Studia Math., 207:1 (2011), 85–95  crossref  mathscinet  zmath  isi  scopus
    4. Korenovskii A.A., Fomichev V.V., “Self-improvement of summability factors of functions satisfying the reverse Hólder inequality in limit cases”, Ukrainian Math. J., 62:4 (2010), 552–563  crossref  mathscinet  isi  scopus
    5. V. I. Vasyunin, “Mutual estimates of $L^p$-norms, and the Bellman function”, J. Math. Sci. (N. Y.), 156:5 (2009), 766–798  mathnet  crossref  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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