$BMO_ψ$-spaces and applications to extrapolation theory
Tom 122 / 1997
Studia Mathematica 122 (1997), 235-274
DOI: 10.4064/sm-122-3-235-274
Streszczenie
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 $BMO_ψ$-$L_∞$-estimates, and arrives at $L_p$-$L_p$-estimates, or more generally, at estimates between K-functionals from interpolation theory.
