This survey is devoted to the theory of non-commutative L p-spaces. This theory (in the
tracial case) was laid out in the early 50's by Segal [181] and Dixmier [47](see also …

This book presents a systematic introduction to the theory of holomorphic map**s in
normed spaces which has been scattered throughout the literature. It gives the necessary …

This text contains some facts, ideas, and techniques that сan help or motivate the reader to
read books and papers оп various classes of functions оп the disk and the circle. The reader …

The goal of this work is to treat the main boundary value problems for the Stokes system,
ie,(i) the Dirichlet problem with Lp-data and nontangential maximal function estimates,(ii) the …

This revised and extended edition of a well-established monograph in function theory
contains a study on various function classes on the disc, a number of new results and new or …

The theory of the geometry of Banach spaces has evolved very rapidly over the past fifty
years. By contrast the study of quasi-Banach spaces has lagged far behind, even though the …

In their ground-breaking work [42], D. Jerison and C. Kenig have studied the well-posedness
of the Poisson problem for the Dirichlet Laplacian on Besov and Bessel potential spaces,∆ …

Let 0< p, pi≤∞, 0< q, qi<∞(i= 1, 2) such thatLet E be a quasi-Banach lattice which fails to
contain c0 and whose α-convexity constant is equal to 1 for some 0< α<∞. Then for every f∈ …

Factorization of Operator Valued Analytic Functions Page 1 ADVANCES IN MATHEMATICS
93, 61-125 (1992) Factorization of Operator Valued Analytic Functions GILLES PISIER * Texas …

We show that Jensen measures defined on ${\mathbb {C}^ n} $ or more generally on a
complex Banach space $ X $ can be approximated by the image of Lebesgue measure on …