[图书][B] Morrey spaces: introduction and applications to integral operators and PDE's, Volume I

Y Sawano - 2020 - taylorfrancis.com
Title: Morrey spaces: introduction and applications to integral operators and PDE's/Yoshihiro
Sawano, Giuseppe Di Fazio, Denny Ivanal Hakim. Description: First edition.| Boca Raton …

[图书][B] Introduction to operator space theory

G Pisier - 2003 - books.google.com
The theory of operator spaces is very recent and can be described as a non-commutative
Banach space theory. An'operator space'is simply a Banach space with an embedding into …

[图书][B] Handbook of the geometry of Banach spaces

WB Johnson, J Lindenstrauss - 2001 - books.google.com
The Handbook presents an overview of most aspects of modernBanach space theory and its
applications. The up-to-date surveys, authored by leading research workers in the area, are …

[图书][B] Tensor Products of C*-Algebras and Operator Spaces: The Connes–Kirchberg Problem

G Pisier - 2020 - books.google.com
" These notes are centered around the equivalence of two major open problems: one
formulated by Connes (1976), about traces and ultraproducts of von Neumann algebras, the …

Minimal and maximal methods of interpolation

S Janson - Journal of Functional Analysis, 1981 - Elsevier
Minimal and Maximal Methods of bterpolation* Page 1 JOURNAL OF FUNCTIONAL ANALYSIS
44, 50-73 (1981) Minimal and Maximal Methods of bterpolation* SVANTE JANSON …

Noncommutative Burkholder/Rosenthal inequalities II: Applications

M Junge, Q Xu - Israel Journal of Mathematics, 2008 - Springer
We show norm estimates for the sum of independent random variables in noncommutative L
p-spaces for 1< p<∞, following our previous work. These estimates generalize the classical …

[HTML][HTML] Bourgain–Morrey spaces and their applications to boundedness of operators

N Hatano, T Nogayama, Y Sawano, DI Hakim - Journal of Functional …, 2023 - Elsevier
A class of function spaces related to Bourgain–Morrey spaces was recently introduced.
Here, this class is investigated from the viewpoints of harmonic analysis and functional …

One-sided compactness results for Aronszajn-Gagliardo functors

F Cobos, T Kühn, T Schonbek - Journal of functional analysis, 1992 - Elsevier
We show that if T: A 0→ B 0 is compact and T: A 1→ B 1 is bounded, then T: G (A ̄)→ H (B
̄) is also compact. Here G (resp. H) stands for certain minimal (resp. maximal) functors in …

[图书][B] Sobolev, Besov and Triebel-Lizorkin spaces on quantum tori

X Xiong, Q Xu, Z Yin - 2018 - ams.org
This paper gives a systematic study of Sobolev, Besov and Triebel-Lizorkin spaces on a
noncommutative d-torus Td θ (with θ a skew symmetric real d× d-matrix). These spaces …

[图书][B] Interpolation of Weighted Banach Lattices/A Characterization of Relatively Decomposable Banach Lattices: A Characterization of Relatively Decomposable …

M Cwikel, PG Nilsson, G Schechtman - 2003 - books.google.com
Includes a paper that provides necessary and sufficient conditions on a couple of Banach
lattices of measurable functions $(X_ {0}, X_ {1}) $ which ensure that, for all weight functions …