Endpoint estimates for a class of multilinear oscillatory singular integral operators  

作　　者：LU Shanzhen and MENG Yan(Department of Mathematics, Beijing Normal University,Beijing 100875, China) 

出　　处：《Progress in Natural Science:Materials International》2002年第11期813-819,共7页自然科学进展·国际材料（英文版）

基　　金：the National 973 Project (Grant No.G19990751) ; the SEDF of China (Grant No. 20010027002)

摘　　要：Some endpoint estimates for a class of multilinear oscillatory singular integral operators are considered and their boundedness from Hardy space H1(Rn) to Lebesgue space L1(Rn) and from Her z-type Hardy space HK·n(1-1/q),p(Rn) (or HK nq(1-1/q),p(Rn)) to Herz space K·nq(1-1/q)，p(Rn) (or Knq(1-1/q),p(Rn)) are obtained for any p∈(0,∞) and q∈(1,∞).Some endpoint estimates for a class of multilinear oscillatory singular integral operators are considered and their boundedness from Hardy space H-1 (R-n) to Lebesgue space L-1 (R-n) and from Her z-type Hardy space H (K) over circle (n(1 - 1/q))(q), (p) (R-n) (or HKqn(1 - 1/q), (p) (R-n)) to Herz space (K) over circle (n(1 - 1/q), p)(q) (R-n) (or K-q(n(1 - 1/q), p) (R-n)) are obtained for any p is an element of (0, infinity) and q is an element of (1, infinity).

关 键 词：MULTILINEAR OSCILLATORY singular integral  HARDY space  HERZ space  atom  BMO. 

分 类 号：O172[理学—数学]