Interpolation Spaces and Allied Topics in Analysis

Proceedings of the Conference Held in Lund, Sweden, August 29 - September 1, 1983
1984
ISBN: 978-3-540-13363-6
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1070, 246 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 382 g

Reihe: Lecture Notes in Mathematics

Springer Book Archives

Zielgruppe

Research

Autoren/Hrsg.

Peetre, J.

Cwikel, M.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik

Inhaltsverzeichnis

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.