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)

The theory of interpolation spaces — its origin, prospects for the future....Pages 1-9 An interpolation theorem for modular spaces....Pages 10-23 Some aspects of the minimal, Möbiusinvariant space of analytic functions on the unit disc....Pages 24-44 A non-linear complex interpolation result....Pages 45-47 A remark about Calderón's upper s method of interpolation....Pages 48-53 The coincidence of real and complex interpolation methods for couples of weighted Banach lattices....Pages 54-65 The K functional for (H 1 , BMO)....Pages 66-79 A relation between two interpolation methods....Pages 80-91 Harmonic interpolation....Pages 92-124 Higher order commutators of singular integral operators....Pages 125-142 On interpolation between H 1 and H ∞ ....Pages 143-151 Interpolation theory and duality....Pages 152-168 The K-functional for symmetric spaces....Pages 169-182 Applications of interpolation with a function parameter to Lorentz, Sobolev and besov spaces....Pages 183-201 On the smoothness of fourier transforms....Pages 202-207 Rearrangements of BMO functions and interpolation....Pages 208-212 Descriptions of some interpolation spaces in off-diagonal cases....Pages 213-231 N.B. - Some of these problems were prepared already for the 1982 conference....Pages 232-239