Orlicz spaces, $\alpha $-decreasing functions, and the $\Delta _2$ condition

Tom 101 / 2004

Gary M. Lieberman Colloquium Mathematicum 101 (2004), 113-120 MSC: Primary 26A12; Secondary 26A48. DOI: 10.4064/cm101-1-7

Streszczenie

We prove some quantitatively sharp estimates concerning the $\Delta _2$ and $\nabla _2$ conditions for functions which generalize known ones. The sharp forms arise in the connection between Orlicz space theory and the theory of elliptic partial differential equations.

Autorzy

  • Gary M. LiebermanDepartment of Mathematics
    Iowa State University
    Ames, IA 50011, U.S.A.
    e-mail

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