Interpolation Spaces and Allied Topics in Analysis

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.