**Contemporary Mathematics**

Volume: 445;
2007;
357 pp;
Softcover

MSC: Primary 46;

Print ISBN: 978-0-8218-4207-2

Product Code: CONM/445

List Price: $105.00

Individual Member Price: $84.00

**Electronic ISBN: 978-0-8218-8124-8
Product Code: CONM/445.E**

List Price: $105.00

Individual Member Price: $84.00

# Interpolation Theory and Applications

Share this page *Edited by *
*Laura De Carli; Mario Milman*

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.

#### Table of Contents

# Table of Contents

## Interpolation Theory and Applications

- Contents vii8 free
- Preface ix10 free
- Michael Cwikel: Mathematician 112 free
- Dyadic BMO, paraproducts and Haar multipliers 1122
- Remez Type Inequalities and Morrey-Campanato Spaces on Ahlfors Regular Sets 1930
- Lorentz capacity spaces 4556
- Weighted Scale Estimates for Calderón-Zygmund Type Operators 6172
- Complex interpolation of compact operators mapping into the couple (FL∞, FL∞1) 7182
- Envelope functions in real interpolation spaces. A first approach. 93104
- Weakly rearrangement invariant spaces and approximation by largest elements 103114
- Sectorial operators and interpolation theory 111122
- Interpolation of Hardy-Sobolev-Besov-Triebel-Lizorkin Spaces and Applications to Problems in Partial Differential Equations 121132
- An Elementary Proof of the Real Version of Riesz-Thorin Theorem 179190
- The K-functional and Calderón-Zygmund Type Decompositions 183194
- Extrapolation of Entropy Numbers 195206
- Additive & mutiplicative piecewise-smooth segmentation models in a functional minimization approach 207218
- Duality for coorbit interpolation functors generated by operator ideals 225236
- A note on Sobolev inequalities and limits of Lorentz spaces 237248
- Bourgain-Brezis type inequality with explicit constants 247258
- Optimality and Interpolation 253264
- Some properties of ultrasymmetric spaces 265276
- Uses of Commutator Theorems in Analysis 277288
- A unified view of disparate results from scattering systems 297308
- On the conjugate space of the Lorentz space L(Φ, q) 313324
- Nonstandard Cwikel type estimates 337348
- 1. Introduction 337348
- 2. Auxiliary material 340351
- 3. Estimates for singular numbers. 344355
- 4. The key estimate 346357
- 5. The Proof of Lemma 4.1. 347358
- 6. A "non-interpolational" Cwikel type bound 348359
- 7. The Birman-Schwinger principle and the modified Cwikel inequality 350361
- 8. An application to two-dimensional Schrodinger operators. 350361
- 9. An Application to Pseudo-Relativistic Two-Body Pair Operators 352363
- References 356367

#### Readership

Graduate students and research mathematicians interested in analysis.