Interpolation Spaces and Allied Topics in Analysis

Proceedings of the Conference Held in Lund, Sweden, August 29 - September 1, 1983

248 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

The theory of interpolation spaces - its origin, prospects for the future.- An interpolation theorem for modular spaces.- Some aspects of the minimal, Möbiusinvariant space of analytic functions on the unit disc.- A non-linear complex interpolation result.- A remark about Calderón's upper s method of interpolation.- The coincidence of real and complex interpolation methods for couples of weighted Banach lattices.- The K functional for (H1, BMO).- A relation between two interpolation methods.- Harmonic interpolation.- Higher order commutators of singular integral operators.- On interpolation between H1 and H?.- Interpolation theory and duality.- The K-functional for symmetric spaces.- Applications of interpolation with a function parameter to Lorentz, Sobolev and besov spaces.- On the smoothness of fourier transforms.- Rearrangements of BMO functions and interpolation.- Descriptions of some interpolation spaces in off-diagonal cases.- N.B. - Some of these problems were prepared already for the 1982 conference.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Mathematische Analysis, allgemein Reelle Analysis, Real-Variablen
• ISBN: 9783540133636
• Sprache: Englisch
• Erscheinungsdatum: 01.07.1984
• Größe: 235 x 155 mm
• Verlag: Springer
• Herausgegeben von: M. Cwikel, J. Peetre