TABLE OF CONTENTS Abstract v Acknowledgments vi Notation vii §0. Introduction 1 §1. The Atomic Decomposition of the Triebel—Lizorkin spaces 11 1.1 The homogeneous Triebel—Lizorkin spaces 11 1.2 The inhomogeneous Triebel—Lizorkin spaces 22 §2. Generalized Calderon—Zygmund Operators 26 2.1 Some preliminary background and motivation 26 2.2 Generalized Calderon—Zygmund operators and functions of polynomial growth 35 2.3 The Weak Boundedness Property 46 §3. Generalized Calderon—Zygmund Operators on Triebel—Lizorkin Spaces 52 3.1 L00 —estimates for Generalized Calderon—Zygmund operators 52 iii
Previous Page Next Page