Contemporary Mathematics 2007; 357 pp; softcover Volume: 445 ISBN10: 0821842072 ISBN13: 9780821842072 List Price: US$105 Member Price: US$84 Order Code: CONM/445
 This volume contains the Proceedings of the Conference on Interpolation Theory and Applications in honor of Professor Michael Cwikel (Miami, FL, 2006). The central topic of this book is interpolation theory in its broadest sense, with special attention to its applications to analysis. The articles include applications to classical analysis, harmonic analysis, partial differential equations, function spaces, image processing, geometry of Banach spaces, and more. This volume emphasizes remarkable connections between several branches of pure and applied analysis. Graduate students and researchers in analysis will find it very useful. Readership Graduate students and research mathematicians interested in analysis. Table of Contents  M. Milman and R. Rochberg  Michael Cwikel: Mathematician
 O. Blasco  Dyadic BMO, paraproducts and Haar multipliers
 A. Brudnyi and Y. Brudnyi  Remez type inequalities and MorreyCampanato spaces on Ahlfors regular sets
 J. Cerdá  Lorentz capacity spaces
 D.C. Chang, J.F. Li, and J. Xiao  Weighted scale estimates for CalderónZygmund type operators
 M. Cwikel and S. Janson  Complex interpolation of compact operators mapping into the couple \((FL^{\infty },FL_{1}^{\infty })\)
 D. D. Haroske  Envelope functions in real interpolation spaces. A first approach.
 B. Jawerth and M. Milman  Weakly rearrangement invariant spaces and approximation by largest elements
 N. J. Kalton and T. Kucherenko  Sectorial operators and interpolation theory
 N. J. Kalton, S. Mayboroda, and M. Mitrea  Interpolation of HardySobolevBesovTriebelLizorkin spaces and applications to problems in partial differential equations
 N. Kruglyak  An elementary proof of the real version of the RieszThorin theorem
 N. Kruglyak  The \(K\)functional and CalderónZygmund type decompositions
 T. Kühn and T. Schonbek  Extrapolation of entropy numbers
 T. M. Le and L. A. Vese  Additive and multiplicative piecewisesmooth segmentation models in a functional minimization approaach
 A. Manzano and M. Mastyło  Duality for coorbit interpolation functors generated by operator ideals
 J. Martin and M. Milman  A note on Sobolev inequalities and limits of Lorentz spaces
 V. Maz'ya  BourgainBrezis type inequality with explicit constants
 L. Pick  Optimality and interpolation
 E. Pustylnik  Some properties of ultrasymmetric spaces
 R. Rochberg  Uses of commutator theorems in analysis
 C. Sadosky  A unified view of disparate results from scattering systems
 A. Sparr  On the conjugate space of the Lorentz space \(L(\phi,q)\)
 T. Weidl  Nonstandard Cwikel type estimates
