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Graduate Texts in Mathematics
249
Editorial Board
S. Axler
K.A. Ribet
Graduate Texts in Mathematics
1T
AKEUTI
/Z
ARING
. Introduction to Axiomatic
Set Theory. 2nd ed.
2O
XTOBY
. Measure and Category. 2nd ed.
3S
CHAEFER
. Topological Vector Spaces.
2nd ed.
4H
ILTON
/S
TAMMBACH
. A Course in
Homological Algebra. 2nd ed.
5M
AC
L
ANE
. Categories for the Working
Mathematician. 2nd ed.
6H
UGHES
/P
IPER
. Projective Planes.
7J.-P.S
ERRE
. A Course in Arithmetic.
8T
AKEUTI
/Z
ARING
. Axiomatic Set Theory.
9H
UMPHREYS
. Introduction to Lie Algebras
and Representation Theory.
10 C
OHEN
. A Course in Simple Homotopy
Theory.
11 C
ONWAY
. Functions of One Complex
Variable I. 2nd ed.
12 B
EALS
. Advanced Mathematical Analysis.
13 A
NDERSON
/F
ULLER
. Rings and Categories
of Modules. 2nd ed.
14 G
OLUBITSKY
/G
UILLEMIN
. Stable Mappings
and Their Singularities.
15 B
ERBERIAN
. Lectures in Functional Analysis
and Operator Theory.
16 W
INTER
. The Structure of Fields.
17 R
OSENBLATT
. Random Processes. 2nd ed.
18 H
ALMOS
. Measure Theory.
19 H
ALMOS
. A Hilbert Space Problem Book.
2nd ed.
20 H
USEMOLLER
. Fibre Bundles. 3rd ed.
21 H
UMPHREYS
. Linear Algebraic Groups.
22 B
ARNES
/M
ACK
. An Algebraic Introduction
to Mathematical Logic.
23 G
REUB
. Linear Algebra. 4th ed.
24 H
OLMES
. Geometric Functional Analysis and
Its Applications.
25 H
EWITT
/S
TROMBERG
. Real and Abstract
Analysis.
26 M
ANES
. Algebraic Theories.
27 K
ELLEY
. General Topology.
28 Z
ARISKI
/S
AMUEL
. Commutative Algebra.
Vo l . I .
29 Z
ARISKI
/S
AMUEL
. Commutative Algebra.
Vol. II.
30 J
ACOBSON
. Lectures in Abstract Algebra I.
Basic Concepts.
31 J
ACOBSON
. Lectures in Abstract Algebra II.
Linear Algebra.
32 J
ACOBSON
. Lectures in Abstract Algebra III.
Theory of Fields and Galois Theory.
33 H
IRSCH
. Differential Topology.
34 S
PITZER
. Principles of Random Walk. 2nd ed.
35 A
LEXANDER
/W
ERMER
. Several Complex
Variables and Banach Algebras. 3rd ed.
36 K
ELLEY
/N
AMIOKA ET AL
. Linear
Topological Spaces.
37 M
ONK
. Mathematical Logic.
38 G
RAUERT
/F
RITZSCHE
. Several Complex
Va r i a b l e s .
39 A
RVES ON
. An Invitation to
C
-Algebras.
40 K
EMENY
/S
NELL
/K
NAPP
. Denumerable
Markov Chains. 2nd ed.
41 A
POSTOL
. Modular Functions and Dirichlet
Series in Number Theory. 2nd ed.
42 J.-P. S
ERRE
. Linear Representations of Finite
Groups.
43 G
ILLMAN
/J
ERISON
. Rings of Continuous
Functions.
44 K
ENDIG
. Elementary Algebraic Geometry.
45 L
O EVE
. Probability Theory I. 4th ed.
46 L
O EVE
. Probability Theory II. 4th ed.
47 M
OISE
. Geometric Topology in Dimensions 2
and 3.
48 S
ACHS
/W
U
. General Relativity for
Mathematicians.
49 G
RUENBERG
/W
EIR
. Linear Geometry.
2nd ed.
50 E
DWARDS
. Fermat’s Last Theorem.
51 K
LINGENBERG
. A Course in Differential
Geometry.
52 H
ARTSHORNE
. Algebraic Geometry.
53 M
ANIN
. A Course in Mathematical Logic.
54 G
RAVER
/W
ATKINS
. Combinatorics with
Emphasis on the Theory of Graphs.
55 B
ROWN
/P
EARCY
. Introduction to Operator
Theory I: Elements of Functional Analysis.
56 M
ASSEY
. Algebraic Topology: An
Introduction.
57 C
ROWELL
/F
OX
. Introduction to Knot Theory.
58 K
OBLITZ
.
p
-adic Numbers,
p
-adic Analysis,
and Zeta-Functions. 2nd ed.
59 L
ANG
. Cyclotomic Fields.
60 A
RNOLD
. Mathematical Methods in Classical
Mechanics. 2nd ed.
61 W
HITEHEAD
. Elements of Homotopy Theory.
62 K
ARGAPOLOV
/M
ERIZJAKOV
. Fundamentals
of the Theory of Groups.
63 B
OLLOBAS
. Graph Theory.
64 E
DWARDS
. Fourier Series. Vol. I. 2nd ed.
65 W
ELLS
. Differential Analysis on Complex
Manifolds. 2nd ed.
66 W
ATERHOUSE
. Introduction to Affine Group
Schemes.
67 S
ERRE
. Local Fields.
68 W
EIDMANN
. Linear Operators in Hilbert
Spaces.
69 L
ANG
. Cyclotomic Fields II.
70 M
ASSEY
. Singular Homology Theory.
71 F
ARKAS
/K
RA
. Riemann Surfaces. 2nd ed.
72 S
TILLWELL
. Classical Topology and
Combinatorial Group Theory. 2nd ed.
73 H
UNGERFORD
.Algebra.
74 D
AV E N P O RT
. Multiplicative Number Theory.
3rd ed.
(continued after index)
Loukas Grafakos
Classical Fourier Analysis
Second Edition
123
Loukas Grafakos
Department of Mathematics
University of Missouri
Columbia,MO65211
USA
loukas@math.missouri.edu
Editorial Board
S. Axler
Mathematics Department
San Francisco State University
San Francisco, CA 94132
USA
axler@sfsu.edu
K.A. Ribet
Mathematics Department
University of California at Berkeley
Berkeley, CA 94720-3840
USA
ribet@math.berkeley.edu
ISSN: 0072-5285
ISBN: 978-0-387-09431-1
e-ISBN: 978-0-387-09432-8
DOI: 10.1007/978-0-387-09432-8
Library of Congress Control Number: 2008933456
Mathematics Subject Classifi cation (2000): 42-xx 42-02
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