Interpolation Spaces and Allied Topics in Analysis
Proceedings of the Conference Held in Lund, Sweden, August 29 - September 1, 1983
Published on 1. July 1984
Book
Paperback/Softback
V, 246 pages
978-3-540-13363-6 (ISBN)
Description
The theory of interpolation spaces ¿ its origin, prospects for the future.- An interpolation theorem for modular spaces.- Some aspects of the minimal, M¿biusinvariant space of analytic functions on the unit disc.- A non-linear complex interpolation result.- A remark about Calder¿n'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.
More details
Series
Edition
1984 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
V, 246 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 14 mm
Weight
382 gr
ISBN-13
978-3-540-13363-6 (9783540133636)
DOI
10.1007/BFb0099087
Schweitzer Classification
Content
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.