Lectures on Bochner-Riesz Means

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Copyright
Dedication
CONTENTS
INTRODUCTION
CHAPTER 0
	0.1 INTRODUCTION
	0.2 THE ROLE OF FUNCTIONAL ANALYSIS
	0.3 BACKGROUND
	0.4 NOTES FOR CHAPTER 0
CHAPTER 1 MULTIPLIER THEORY
	SECTION 1.1 MULTIPLIERS ON LP
	SECTION 1.2 MULTIPLIERS ON LP
	SECTION 1.3 MULTIPLIERS AND SUMMABILITY OF SERIES
	SECTION 1.4 REMARKS FOR CHAPTER 1
CHAPTER 2 THE HILBERT TRANSFORM
	SECTION 2.1 INTRODUCTION
	SECTION 2.2 THE HILBERT TRANSFORM
	SECTION 2.3 COTLAR\'S THEOREM
	SECTION 2.4 THE HARDY-LITTLEWOOD MAXIMAL FUNCTION
	SECTION 2.5 THE MAXIMAL HILBERT TRANSFORM
	SECTION 2.6 REMARKS FOR CHAPTER 2
CHAPTER 3 GOOD λ AND WEIGHTED NORM INEQUALITIES
	SECTION 3.1 GOOD λ INEQUALITIES
	SECTION 3.2 THE Ap CONDITION
	SECTION 3.3 WEIGHTED NORM INEQUALITIES
	SECTION 3.4 REMARKS FOR CHAPTER 3
CHAPTER 4 MULTIPLIERS WITH SINGULARITIES
	SECTION 4.1 THE HORMANDER-MIHILIN THEOREM
	SECTION 4.2 THE LITTLEWOOD PALEY AND MARCINKIEWICZ THEOREMS
	SECTION 4.3 REMARKS AND EXTENSIONS
CHAPTER 5 SINGULARITIES ALONG CURVES
	SECTION 5.1 ASYMPTOTICS OF BESSEL FUNCTIONS
	SECTION 5.2 A THEOREM OF DELEEUW AND STEIN
	SECTION 5.4 REMARKS AND EXTENSIONS
CHAPTER 6 RESTRICTION THEOREMS
	SECTION 6.1 RESTRICTION
	SECTION 6.2 BOCHNER-RIESZ MEANS
	SECTION 6.3 EXTENSIONS AND REMARKS
CHAPTER 7 THE MULTIPLIER PROBLEM FOR THE DISC
	SECTION 7.1 MEYER\'S LEMMA
	SECTION 7.2 THE KAKEYA SET
	SECTION 7.3 EXTENSIONS AND REMARKS
CHAPTER 8 THE CORDOBA MULTIPLIER THEOREM
	SECTION 8.1 ALMOST ORTHOGONALITY
	SECTION 8.2 THE CORDOBA MAXIMAL FUNCTION
	SECTION 8.3 THE CORDOBA MULTIPLIER THEOREM
	SECTION 8.4 RESTRICTION REVISITED
	SECTION 8.5 REMARKS AND EXTENSIONS
REFERENCES
INDEX