Hardy spaces on the Euclidean spaces / Akihito Uchiyama

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