Interpolation Theory and Applications (Contemporary Mathematics)

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Description

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.

Contents

Michael Cwikel: Mathematician by M. Milman and R. Rochberg Dyadic BMO, paraproducts and Haar multipliers by O. Blasco Remez type inequalities and Morrey-Campanato spaces on Ahlfors regular sets by A. Brudnyi and Y. Brudnyi Lorentz capacity spaces by J. Cerda Weighted scale estimates for Calderon-Zygmund type operators by D.-C. Chang, J.-F. Li, and J. Xiao Complex interpolation of compact operators mapping into the couple $(FL^{\infty},FL {1}^{\infty})$ by M. Cwikel and S. Janson Envelope functions in real interpolation spaces. A first approach. by D. D. Haroske Weakly rearrangement invariant spaces and approximation by largest elements by B. Jawerth and M. Milman Sectorial operators and interpolation theory by N. J. Kalton and T. Kucherenko Interpolation of Hardy-Sobolev-Besov-Triebel-Lizorkin spaces and applications to problems in partial differential equations by N. J. Kalton, S. Mayboroda, and M. Mitrea An elementary proof of the real version of the Riesz-Thorin theorem by N. Kruglyak The $K$-functional and Calderon-Zygmund type decompositions by N. Kruglyak Extrapolation of entropy numbers by T. Kuhn and T. Schonbek Additive and multiplicative piecewise-smooth segmentation models in a functional minimization approaach by T. M. Le and L. A. Vese Duality for coorbit interpolation functors generated by operator ideals by A. Manzano and M. Mastylo A note on Sobolev inequalities and limits of Lorentz spaces by J. Martin and M. Milman Bourgain-Brezis type inequality with explicit constants by V. Maz'ya Optimality and interpolation by L. Pick Some properties of ultrasymmetric spaces by E. Pustylnik Uses of commutator theorems in analysis by R. Rochberg A unified view of disparate results from scattering systems by C. Sadosky On the conjugate space of the Lorentz space $L(\phi,q)$ by A. Sparr Nonstandard Cwikel type estimates by T. Weidl.

Product Details

• ISBN13: 9780821842072
• Format: Paperback
• ID: 9780821842072
• ISBN10: 0821842072

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