Some Recent Progress on the Restriction Conjecture Page 1 Some Recent Progress on the
Restriction Conjecture Terence Tao Department of Mathematics, UCLA, Los Angeles, CA …

This advanced monograph is concerned with modern treatments of central problems in
harmonic analysis. The main theme of the book is the interplay between ideas used to study …

Using the techniques of oscillatory integrals we establish a sharp theorem concerning
Cesaro summation on the two sphere,(SIGMA)('2). This is the analogue of the Carleson …

1. INTRODUCTION The purpose of this paper is twofold. First, if Y and Z are smooth
paracompact manifolds of dimensions n> 2 and n+ 1, respectively, we shall prove local …

The restriction conjecture asserts that R (p, 0) holds for all 1< p< 2n/(n+ 1). Localized
restriction theorems such as the L2-estimate R (2, 1/2) have been used before (see [1],[2]) as …

STRONG VARIATIONAL AND JUMP INEQUALITIES IN HARMONIC ANALYSIS 1. Introduction
Variational and jump inequalities in probability, Page 1 TRANSACTIONS OF THE AMERICAN …

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This paper establishes the boundedness of the spherical maximal function, Rubio de
Francia operators, Bochner–Riesz operators, Fourier integral operators, geometric maximal …

We consider the summability of one-and multi-dimensional trigonometric Fourier series. The
Fej {\'e} r and Riesz summability methods are investigated in detail. Different types of …

IMPROVED BOUNDS FOR BOCHNER-RIESZ AND MAXIMAL BOCHNER-RIESZ OPERATORS
Page 1 IMPROVED BOUNDS FOR BOCHNER-RIESZ AND MAXIMAL BOCHNER-RIESZ …