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