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Author: Michael Cwikel Publisher: American Mathematical Soc. ISBN: 0821833820 Category : Mathematics Languages : en Pages : 142
Book Description
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 $w_{0}$ and $w_{1}$, the couple of weighted lattices $(X_{0, w_{0}}, X_{1, w_{1}})$ is a Calderon-Mityagin cou
Author: Michael Cwikel Publisher: American Mathematical Soc. ISBN: 0821833820 Category : Mathematics Languages : en Pages : 142
Book Description
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 $w_{0}$ and $w_{1}$, the couple of weighted lattices $(X_{0, w_{0}}, X_{1, w_{1}})$ is a Calderon-Mityagin cou
Author: Michael Cwikel Per G. Nilsson Gideon Schechtman Publisher: American Mathematical Soc. ISBN: 9780821865095 Category : Banach lattices Languages : en Pages : 162
Author: Michael Cwikel Publisher: ISBN: 9781470403850 Category : Banach lattices Languages : en Pages : 127
Book Description
Interpolation of weighted Banach lattices, by Michael Cwikel and Per G. Nilsson: Introduction Definitions, terminology and preliminary results The main results A uniqueness theorem Two properties of the $K$-functional for a couple of Banach lattices Characterizations of couples which are uniformly Calderon-Mityagin for all weights Some uniform boundedness principles for interpolation of Banach lattices Appendix: Lozanovskii's formula for general Banach lattices of measurable functions References A characterization of relatively decomposable Banach lattices, by Michael Cwikel, Per G. Nilsson and Gideon Schechtman: Introduction Equal norm upper and lower $p$-estimates and some other preliminary results Completion of the proof of the main theorem Application to the problem of characterizing interpolation spaces References.
Author: J. T. Cox Publisher: American Mathematical Soc. ISBN: 0821835424 Category : Mathematics Languages : en Pages : 114
Book Description
Studies the evolution of the large finite spatial systems in size-dependent time scales and compare them with the behavior of the infinite systems, which amounts to establishing the so-called finite system scheme. This title introduces the concept of a continuum limit in the hierarchical mean field limit.
Author: Sergey Kislyakov Publisher: Springer Science & Business Media ISBN: 3034804695 Category : Mathematics Languages : en Pages : 320
Book Description
In this book we suggest a unified method of constructing near-minimizers for certain important functionals arising in approximation, harmonic analysis and ill-posed problems and most widely used in interpolation theory. The constructions are based on far-reaching refinements of the classical Calderón–Zygmund decomposition. These new Calderón–Zygmund decompositions in turn are produced with the help of new covering theorems that combine many remarkable features of classical results established by Besicovitch, Whitney and Wiener. In many cases the minimizers constructed in the book are stable (i.e., remain near-minimizers) under the action of Calderón–Zygmund singular integral operators. The book is divided into two parts. While the new method is presented in great detail in the second part, the first is mainly devoted to the prerequisites needed for a self-contained presentation of the main topic. There we discuss the classical covering results mentioned above, various spectacular applications of the classical Calderón–Zygmund decompositions, and the relationship of all this to real interpolation. It also serves as a quick introduction to such important topics as spaces of smooth functions or singular integrals.
Author: Hagen Meltzer Publisher: American Mathematical Soc. ISBN: 082183519X Category : Mathematics Languages : en Pages : 154
Book Description
Deals with weighted projective lines, a class of non-commutative curves modelled by Geigle and Lenzing on a graded commutative sheaf theory. They play an important role in representation theory of finite-dimensional algebras; the complexity of the classification of coherent sheaves largely depends on the genus of these curves.
Author: Robert Denk Publisher: American Mathematical Soc. ISBN: 0821833782 Category : Mathematics Languages : en Pages : 130
Book Description
The property of maximal $L_p$-regularity for parabolic evolution equations is investigated via the concept of $\mathcal R$-sectorial operators and operator-valued Fourier multipliers. As application, we consider the $L_q$-realization of an elliptic boundary value problem of order $2m$ with operator-valued coefficients subject to general boundary conditions. We show that there is maximal $L_p$-$L_q$-regularity for the solution of the associated Cauchy problem provided the top order coefficients are bounded and uniformly continuous.
Author: Arnd Scheel Publisher: American Mathematical Soc. ISBN: 0821833731 Category : Mathematics Languages : en Pages : 102
Book Description
Includes a paper that studies bifurcations of stationary and time-periodic solutions to reaction-diffusion systems. This title develops a center-manifold and normal form theory for radial dynamics which allows for a complete description of radially symmetric patterns.
Author: Helge Glöckner Publisher: American Mathematical Soc. ISBN: 0821832565 Category : Mathematics Languages : en Pages : 150
Book Description
A memoir that studies positive definite functions on convex subsets of finite- or infinite-dimensional vector spaces. It studies representations of convex cones by positive operators on Hilbert spaces. It also studies the interplay between positive definite functions and representations of convex cones.
Author: Desmond Sheiham Publisher: American Mathematical Soc. ISBN: 0821833405 Category : Mathematics Languages : en Pages : 128
Book Description
An $n$-dimensional $\mu$-component boundary link is a codimension $2$ embedding of spheres $L=\sqcup_{\mu}S DEGREESn \subset S DEGREES{n+2}$ such that there exist $\mu$ disjoint oriented embedded $(n+1)$-manifolds which span the components of $L$. This title proceeds to compute the isomorphism class of $C_{
Author: Michael Cwikel
Author: Michael Cwikel
Author: Michael Cwikel Per G. Nilsson Gideon Schechtman
Author: Michael Cwikel
Author: J. T. Cox
Author: Sergey Kislyakov
Author: Hagen Meltzer
Author: Robert Denk
Author: Arnd Scheel
Author: Helge Glöckner
Author: Desmond Sheiham