Classical Fourier Analysis - L. Grafakos.pdf

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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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