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Mutual estimates of \(L^p\)-norms and the Bellman function

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Publication:1036954
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DOI10.1007/s10958-009-9288-3zbMath1184.26009OpenAlexW1983951749MaRDI QIDQ1036954

Vasily I. Vasyunin

Publication date: 13 November 2009

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9288-3


zbMATH Keywords

Muckenhoupt condition\(L^p\)-normBellman functionthe average


Mathematics Subject Classification ID

Inequalities involving derivatives and differential and integral operators (26D10) Functions of several variables (26B99)


Related Items

Theory of locally concave functions and its applications to sharp estimates of integral functionals ⋮ Unnamed Item ⋮ Bi-Sobolev homeomorphisms and \(B^q_p\) classes ⋮ On Bellman function for extremal problems in BMO ⋮ Sharp estimates of integral functionals on classes of functions with small mean oscillation ⋮ Sharp transference principle for BMO and \(A_p\) ⋮ Higher integrability and reverse Hölder inequalities in the limit cases ⋮ Sharp estimates involving $A_\infty $ and $L\log L$ constants, and their applications to PDE



Cites Work

  • On the reverse Hölder inequality
  • Unnamed Item
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