Function Spaces and Applications

Marcel Riesz in Lund.- Interpolation of tent spaces and applications.- Toeplitz liftings of hankel forms.- Some recent developments in fourier analysis and HP theory on product domains - II.- A unified approach to atomic decompositions via integrable group representations.- The work of coifman and semmes on complex interpolation, several complex variables, and PDE's.- Interpolation of quasinormed spaces by the complex method.- New and old function spaces.- A note on choquet integrals with respect to Hausdorff capacity.- Besov norms of rational functions.- Functions of bounded mean oscillation and Hausdorff-Young type theorems.- Remarks on local function spaces.- The classes Va are monotone.- Hardy-Sobolev spaces and Besov spaces with a function parameter.- An extension of fourier type to quasi-Banach spaces.- ?-Moduli and interpolation.- Interpolation spaces and non-linear approximation.- Atomic decompositions in Hardy spaces on bounded lipschitz domains.- The ?-transform and applications to distribution spaces.- Approximation by solutions of elliptic boundary value problems in various function spaces.- Interpolation of subspaces and quotient spaces by the complex method.- On interpolation of multi-linear operators.- Markov's inequality and local polynomial approximation.- Two weights weak type inequality for the maximal function in the zygmund class.- Banach envelopes of some interpolation quasi-banach spaces.- A construction of eigenvectors for the canonical isometry.- Smoothness of Schmidt functions of smooth Hankel operators.- Real interpolation between some operator ideals.- Direct and converse theorems for spline and rational approximation and besov spaces.- Interpolation of some analytic families of operators.- Function spaces on lie groups and onanalytic manifolds.- Equivalent normalizations of Sobolev and Nikol'ski? spaces in domains. boundary values and extension.- Remarks on interpolation of subspaces.- Spectral analysis in spaces of continuous functions.- Lipschitz spaces and interpolating polynomials on subsets of euclidean space.- Problem section.- Errata.