$\text{BMO}_ψ$-spaces and applications to extrapolation theory

Stefan Geiss

ArticleOriginal scientific text

Title

${BMO}_{ψ}$ -spaces and applications to extrapolation theory

Authors ¹

Affiliations

Mathematisches Institut, Friedrich-Schiller-Universität Jena, Postfach, D-07740 Jena, Germany

Abstract

We investigate a scale of

{BMO}_{ψ}

-spaces defined with the help of certain Lorentz norms. The results are applied to extrapolation techniques concerning operators defined on adapted sequences. Our extrapolation works simultaneously with two operators, starts with

{BMO}_{ψ}

-

L_{\infty}

-estimates, and arrives at

L_{p}

-

L_{p}

-estimates, or more generally, at estimates between K-functionals from interpolation theory.

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Title

ψBMOψ-spaces and applications to extrapolation theory

Affiliations

Abstract

Bibliography

${BMO}_{ψ}$ -spaces and applications to extrapolation theory