Function Spaces and Applications

Front Matter....Pages I-VI
Marcel Riesz in Lund....Pages 1-10
Interpolation of tent spaces and applications....Pages 11-21
Toeplitz liftings of hankel forms....Pages 22-43
Some recent developments in fourier analysis and H P theory on product domains — II....Pages 44-51
A unified approach to atomic decompositions via integrable group representations....Pages 52-73
The work of coifman and semmes on complex interpolation, several complex variables, and PDE’s....Pages 74-90
Interpolation of quasinormed spaces by the complex method....Pages 91-98
New and old function spaces....Pages 99-114
A note on choquet integrals with respect to Hausdorff capacity....Pages 115-124
Besov norms of rational functions....Pages 125-129
Functions of bounded mean oscillation and Hausdorff-Young type theorems....Pages 130-136
Remarks on local function spaces....Pages 137-152
The classes V a are monotone....Pages 153-157
Hardy-Sobolev spaces and Besov spaces with a function parameter....Pages 158-170
An extension of fourier type to quasi-Banach spaces....Pages 171-176
τ-Moduli and interpolation....Pages 177-190
Interpolation spaces and non-linear approximation....Pages 191-205
Atomic decompositions in Hardy spaces on bounded lipschitz domains....Pages 206-222
The φ-transform and applications to distribution spaces....Pages 223-246
Approximation by solutions of elliptic boundary value problems in various function spaces....Pages 247-252
Interpolation of subspaces and quotient spaces by the complex method....Pages 253-289
On interpolation of multi-linear operators....Pages 290-302
Markov’s inequality and local polynomial approximation....Pages 303-316
Two weights weak type inequality for the maximal function in the zygmund class....Pages 317-320
Banach envelopes of some interpolation quasi-banach spaces....Pages 321-329
A construction of eigenvectors for the canonical isometry....Pages 330-336
Smoothness of Schmidt functions of smooth Hankel operators....Pages 337-346
Real interpolation between some operator ideals....Pages 347-362
Direct and converse theorems for spline and rational approximation and besov spaces....Pages 363-377
Interpolation of some analytic families of operators....Pages 378-383
Function spaces on lie groups and on analytic manifolds....Pages 384-396
Equivalent normalizations of Sobolev and Nikol’skiǐ spaces in domains. boundary values and extension....Pages 397-409
Remarks on interpolation of subspaces....Pages 410-419
Spectral analysis in spaces of continuous functions....Pages 420-423
Lipschitz spaces and interpolating polynomials on subsets of euclidean space....Pages 424-435
Problem section....Pages 436-445
Errata....Pages e1-e2