Interpolation Spaces and Allied Topics in Analysis : Proceedings of the Conference Held in Lund, Sweden, August 29 - September 1, 1983 (Lecture Notes in Mathematics 1070) (1984)

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.