TY  - BOOK
AU  - Uchiyama,Akihito
TI  - Hardy spaces on the Euclidean spaces
T2  - Springer monographs in mathematics,
SN  - 4431703195
AV  - QA331 .U24 2001
PY  - 2001///
CY  - New York
PB  - Springer
KW  - Hardy spaces
N1  - Includes bibliographical references (pages [293]-302) and index; Contents; Foreword; Recollections of My Good Friend, Akihito Uchiyama; Peter W. Jones; Preface; Introduction; 1	Lipschitz spaces and BMO; 2	Atomic H[superscript p] spaces; 3	Operators on H[superscript p]	4	Atomic decomposition from grand maximal functions; 5	Atomic decomposition from S functions; 6	Hardy-Littlewood-Fefferman-Stein type inequalities, 1; 7	Hardy-Littlewood-Fefferman-Stein type inequalities, 2; 8	Hardy-Littlewood-Fefferman-Stein type inequalities, 3; 9	Grand maximal functions from radial maximal functions; 10	S-functions from g-functions; 11	Good [lambda] inequalities for nontangential maximal functions and S-functions of harmonic functions; 12	A direct proof of [actual symbol not reproducible]; 13	A direct proof of [actual symbol not reproducible]; 14	Subharmonicity, 1; 15	Subharmonicity, 2; 16	Preliminaries for characterizations of H[superscript p] in terms of Fourier multipliers; 17	Characterization of H[superscript p] in terms of Riesz transforms; 18	Other results on the characterization of H[superscript p] in terms of Fourier multipliers; 19	Fefferman's original proof of [actual symbol not reproducible]; 20	Varopoulos's proof of the above inequality; 21	The Fefferman-Stein decomposition of BMO; 22	A constructive proof of the Fefferman-Stein decomposition of BMO; 23	Vector-valued unimodular BMO functions; 24	Extension of the Efferman-Stein decomposition of BMO, 1; 25	Characterization of H[superscript 1] in terms of Fourier multipliers; 26	Extension of the Fefferman-Stein decomposition of BMO, 2; 27	Characterization of H[superscript p] in terms of Fourier multipliers; 28	The one-dimensional case; Appendix; References; Index
ER  -