**Contemporary Mathematics**

Volume: 189;
1995;
511 pp;
Softcover

MSC: Primary 43; 47;
Secondary 44; 45; 46

**Print ISBN: 978-0-8218-0304-2
Product Code: CONM/189**

List Price: $102.00

AMS Member Price: $81.60

MAA Member Price: $91.80

**Electronic ISBN: 978-0-8218-7780-7
Product Code: CONM/189.E**

List Price: $96.00

AMS Member Price: $76.80

MAA Member Price: $86.40

# Harmonic Analysis and Operator Theory

Share this page *Edited by *
*S.A.M. Marcantognini; G.A. Mendoza; M. D. Morán; A. Octavio; W. O. Urbina*

This book is a collection of papers reflecting the conference held in Caracas, Venezuela, in January 1994 in celebration of Professor Mischa Cotlar's eightieth birthday. Presenting an excellent account of recent advances in harmonic analysis and operator theory and their applications, many of the contributors are world leaders in their fields. The collection covers a broad spectrum of topics, including:

- wavelet analysis
- Haenkel operators
- multimeasure theory
- the boundary behavior of the Bergman kernel
- interpolation theory
- Cotlar's Lemma on almost orthogonality in the context of \(L^p\) spaces and more …

The range of topics in this volume promotes cross-pollination among the various fields covered. Such variety makes

#### Readership

Mathematicians working in harmonic analysis and operator theory and related subjects, and graduate students interested in analysis.

# Table of Contents

## Harmonic Analysis and Operator Theory

- Contents vii8 free
- Preface xi12 free
- Nuclear Hankel matrices and orthogonal trigonometric polynomials 114 free
- An invariant submean value property and hyponormal Toeplitz operators 1730
- The commutator of the ergodic Hilbert transform 2538
- The homogeneous space of representations of a nuclear C* -algebra 3750
- On the Nagy-Foias-Parrott commutant lifting theorem 5568
- Weighted Bergman projections in domains of finite type in C2 6578
- Commutators of singular integrals and fractional integrals on homogeneous spaces 8194
- A note on the Besov-Lipschitz and Triebel-Lizorkin spaces 95108
- Nonlinear superposition on spaces of analytic functions 103116
- A version of Cotlar's lemma for LP spaces and some applications 117130
- Julia operators and the Schur algorithm 135148
- Weighted Hp spaces for one sided maximal functions 161174
- A direct proof of a theorem of representation of multilinear operators on ∏Co(Ti) 185198
- Compact perturbations of operators on Kreǐn spaces 201214
- Almost-orthogonality and weighted inequalities 213226
- On the extension of intertwining operators 227240
- A new atomic decomposition for the Triebel-Lizorkin spaces 235248
- Commutators of parabolic singular integrals 251264
- Local behavior of Riemann's function 287300
- On the spectra of the higher dimensional Maxwell operators on nonsmooth domains 309322
- Almost periodic factorization: An analogue of Chebotarev's algorithm 327340
- On the IVP for the nonlinear Schrödinger equations 353366
- Unitary dilations of contractive representations of H∞ (D2) 369382
- Noether and normalization theories for a class of singular integral operators with Carleman shift and unbounded coefficients 373386
- Estimates for generalized Poisson integrals in a half space 387400
- Wavelet analysis, local Fourier analysis, and 2-microlocalization 393406
- The role of cancellation in interpolation theory 403416
- An extension of Naimark's dilation theorem to Krein spaces 421434
- Approximation by analytic operator-valued functions 431444
- Character sums and explicit estimates for L-functions 449462
- On the resolvent of the dyadic paraproduct, and a nonlinear operation on RHp weights 461474
- On an analogue of the Wold decomposition for a π-semi-unitary operator and its model representation 473486
- Maximal estimates for oscillatory integrals with concave phase 485498
- Algebras of multilinear forms on groups 497510