Title | Function Spaces and Applications [electronic resource] : Proceedings of the US-Swedish Seminar held in Lund, Sweden, June 15-21, 1986 / edited by Michael Cwikel, Jaak Peetre, Yoram Sagher, Hans Wallin |
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Imprint | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1988 |
Connect to | http://dx.doi.org/10.1007/BFb0078857 |
Descript | VIII, 448 p. online resource |
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 โ II -- A unified approach to atomic decompositions via integrable group representations -- The work of coifman and semmes on complex interpolation, several complex variables, and PDEโs -- 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 -- Markovโs 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 on analytic manifolds -- Equivalent normalizations of Sobolev and Nikolโski? 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