Isomorphisms Between H Spaces: 66 (Monografie Matematyczne) - Tapa dura

Muller, P. V. X.; Müller, Paul F. X.; M]ller, Paul F. X.

 
9783764324315: Isomorphisms Between H Spaces: 66 (Monografie Matematyczne)
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ISBN 10: 3764324317 ISBN 13: 9783764324315
Editorial: Birkhäuser, 2005

Sinopsis

This book gives a thorough and self contained presentation of H¹, its known isomorphic invariants and a complete classification of H¹ on spaces of homogeneous type. The necessary background is developed from scratch. This includes a detailed discussion of the Haar system, together with the operators that can be built from it. Complete proofs are given for the classical martingale inequalities, and for large deviation inequalities. Complex interpolation is treated. Througout, special attention is given to the combinatorial methods developed in the field. An entire chapter is devoted to study the combinatorics of coloured dyadic Intervals.

"Sinopsis" puede pertenecer a otra edición de este libro.

De la contraportada

This book presents a thorough and self-contained presentation of H¹ and its known isomorphic invariants, such as the uniform approximation property, the dimension conjecture, and dichotomies for the complemented subspaces.
The necessary background is developed from scratch. This includes a detailed discussion of the Haar system, together with the operators that can be built from it (averaging projections, rearrangement operators, paraproducts, Calderon-Zygmund singular integrals). Complete proofs are given for the classical martingale inequalities of C. Fefferman, Burkholder, and Khinchine-Kahane, and for large deviation inequalities. Complex interpolation, analytic families of operators, and the Calderon product of Banach lattices are treated in the context of H^p spaces.
Througout the book, special attention is given to the combinatorial methods developed in the field, particularly J. Bourgain's proof of the dimension conjecture, L. Carleson's biorthogonal system in H¹, T. Figiel's integral representation, W.B. Johnson's factorization of operators, B. Maurey's isomorphism, and P. Jones' proof of the uniform approximation property. An entire chapter is devoted to the study of combinatorics of colored dyadic intervals.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Birkhäuser
Año de publicación
2005
Idioma
Inglés
ISBN 10 
3764324317
ISBN 13 
9783764324315
Encuadernación
Tapa dura
Número de páginas
476
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9783764390099: Isomorphisms Between H¹ Spaces

Edición Destacada

ISBN 10:  3764390093 ISBN 13:  9783764390099
Editorial: Springer, 2008
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