000 02672nam a2200325 i 4500
001 14735
005 20251219152655.0
008 010522s2001 nyu b 001 0 eng
010 _a2001040009
020 _a4431703195
040 _aDLC
_erda
_cDLC
_dOHX
_dOKS
_beng
_dBAUN
_erda
041 0 _aeng
049 _aBAUN_MERKEZ
050 0 4 _aQA331
_b.U24 2001
082 0 0 _221
100 1 _aUchiyama, Akihito,
_d1948-1997
_eaut
_994103
245 1 0 _aHardy spaces on the Euclidean spaces /
_cAkihito Uchiyama
264 1 _aNew York :
_bSpringer,
_c2001
300 _axiii, 305 pages ;
_c25 cm
336 _atext
_btxt
_2rdacontent
337 _aunmediated
_bn
_2rdamedia
338 _avolume
_bnc
_2rdacarrier
490 1 _aSpringer monographs in mathematics,
_x1439-7382
504 _aIncludes bibliographical references (pages [293]-302) and index
505 0 0 _tContents
_tForeword
_tRecollections of My Good Friend, Akihito Uchiyama /
_rPeter W. Jones
_tPreface
_tIntroduction
_t1 Lipschitz spaces and BMO
_t2 Atomic H[superscript p] spaces
_t3 Operators on H[superscript p] 4 Atomic decomposition from grand maximal functions
_t5 Atomic decomposition from S functions
_t6 Hardy-Littlewood-Fefferman-Stein type inequalities, 1
_t7 Hardy-Littlewood-Fefferman-Stein type inequalities, 2
_t8 Hardy-Littlewood-Fefferman-Stein type inequalities, 3
_t9 Grand maximal functions from radial maximal functions
_t10 S-functions from g-functions
_t11 Good [lambda] inequalities for nontangential maximal functions and S-functions of harmonic functions
_t12 A direct proof of [actual symbol not reproducible]
_t13 A direct proof of [actual symbol not reproducible]
_t14 Subharmonicity, 1
_t15 Subharmonicity, 2
_t16 Preliminaries for characterizations of H[superscript p] in terms of Fourier multipliers
_t17 Characterization of H[superscript p] in terms of Riesz transforms
_t18 Other results on the characterization of H[superscript p] in terms of Fourier multipliers
_t19 Fefferman's original proof of [actual symbol not reproducible]
_t20 Varopoulos's proof of the above inequality
_t21 The Fefferman-Stein decomposition of BMO
_t22 A constructive proof of the Fefferman-Stein decomposition of BMO
_t23 Vector-valued unimodular BMO functions
_t24 Extension of the Efferman-Stein decomposition of BMO, 1
_t25 Characterization of H[superscript 1] in terms of Fourier multipliers
_t26 Extension of the Fefferman-Stein decomposition of BMO, 2
_t27 Characterization of H[superscript p] in terms of Fourier multipliers
_t28 The one-dimensional case
_tAppendix
_tReferences
_tIndex
650 0 _aHardy spaces
830 0 _aSpringer monographs in mathematics,
_978475
900 _bsatın
942 _2lcc
_cKT
999 _c12611
_d12611