Function Spaces and Applications

1. Front Matter

   Pages I-VI

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2. Marcel Riesz in Lund

   • Jaak Peetre

   Pages 1-10

3. Interpolation of tent spaces and applications

   • J. Alvarez, M. Milman

   Pages 11-21

4. Toeplitz liftings of hankel forms

   • Mischa Cotlar, Cora Sadosky

   Pages 22-43

5. Some recent developments in fourier analysis and HP theory on product domains — II

   • Robert Fefferman

   Pages 44-51

6. A unified approach to atomic decompositions via integrable group representations

   • Hans G. Feichtinger, Karlheinz Gröchenig

   Pages 52-73

7. The work of coifman and semmes on complex interpolation, several complex variables, and PDE’s

   • Richard Rochberg

   Pages 74-90

8. Interpolation of quasinormed spaces by the complex method

   • Richard Rochberg, Anita Tabacco Vignati, Marco Vignati, Guido Weiss

   Pages 91-98

9. New and old function spaces

   • Hans Wallin

   Pages 99-114

10. A note on choquet integrals with respect to Hausdorff capacity

    • David R. Adams

    Pages 115-124

11. Besov norms of rational functions

    • J. Arazy, S. D. Fisher, J. Peetre

    Pages 125-129

12. Functions of bounded mean oscillation and Hausdorff-Young type theorems

    • Jöran Bergh

    Pages 130-136

13. Remarks on local function spaces

    • Bogdan Bojarski

    Pages 137-152

14. The classes Va are monotone

    • Lennart Bondesson, Jaak Peetre

    Pages 153-157

15. Hardy-Sobolev spaces and Besov spaces with a function parameter

    • Fernando Cobos, Dicesar Lass Fernandez

    Pages 158-170

16. An extension of fourier type to quasi-Banach spaces

    • Michael Cwikel, Yoram Sagher

    Pages 171-176

17. τ-Moduli and interpolation

    • L. T. Dechevski

    Pages 177-190

18. Interpolation spaces and non-linear approximation

    • R. A. DeVore, V. A. Popov

    Pages 191-205

19. Atomic decompositions in Hardy spaces on bounded lipschitz domains

    • Klas Forsman

    Pages 206-222

20. The φ-transform and applications to distribution spaces

    • Michael Frazier, Björn Jawerth

    Pages 223-246

This seminar is a loose continuation of two previous conferences held in Lund (1982, 1983), mainly devoted to interpolation spaces, which resulted in the publication of the Lecture Notes in Mathematics Vol. 1070. This explains the bias towards that subject. The idea this time was, however, to bring together mathematicians also from other related areas of analysis. To emphasize the historical roots of the subject, the collection is preceded by a lecture on the life of Marcel Riesz.

• Smooth function
• bounded mean oscillation
• differential equation
• distribution
• eigenvector
• maximum

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