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• # Artykuł - szczegóły

## Studia Mathematica

2005 | 170 | 2 | 173-201

## Weak-type operators and the strong fundamental lemma of real interpolation theory

EN

### Abstrakty

EN
We prove an interpolation theorem for weak-type operators. This is closely related to interpolation between weak-type classes. Weak-type classes at the ends of interpolation scales play a similar role to that played by BMO with respect to the $L^{p}$ interpolation scale. We also clarify the roles of some of the parameters appearing in the definition of the weak-type classes. The interpolation theorem follows from a K-functional inequality for the operators, involving the Calderón operator. The inequality was inspired by a K-J inequality approach developed by Jawerth and Milman. We show that the use of the Calderón operator is necessary. We use a new version of the strong fundamental lemma of interpolation theory that does not require the interpolation couple to be mutually closed.

173-201

wydano
2005

### Twórcy

autor
• Department of Mathematics, Luleå University of Technology, SE-971 87 Luleå, Sweden
autor
• Department of Mathematical Sciences, Florida Atlantic University, Boca Raton, FL 33431-0991, U.S.A.
autor
• Department of Mathematics, Technion-Israel Institute of Technology, 32000 Haifa, Israel