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 Morrey-Campanato spaces on Ahlfors regular sets
• J. Cerdá -- Lorentz capacity spaces
• D.-C. Chang, J.-F. Li, and J. Xiao -- Weighted scale estimates for Calderón-Zygmund 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 Hardy-Sobolev-Besov-Triebel-Lizorkin spaces and applications to problems in partial differential equations
• N. Kruglyak -- An elementary proof of the real version of the Riesz-Thorin theorem
• N. Kruglyak -- The \(K\)-functional and Calderón-Zygmund type decompositions
• T. Kühn and T. Schonbek -- Extrapolation of entropy numbers
• T. M. Le and L. A. Vese -- Additive and multiplicative piecewise-smooth 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 -- Bourgain-Brezis 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