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TRANSFERENCE OF MAXIMAL MULTIPLIER OPERATORS ON LOCAL HARDY-LORENTZ SPACES

TRANSFERENCE OF MAXIMAL MULTIPLIER OPERATORS ON LOCAL HARDY-LORENTZ SPACES
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摘要 The author establishes a deLeeuw-type theorem on maximal multiplier operators on local Hardy-Lorentz space.
作者 CHENDANING
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2004年第1期111-118,共8页 数学年刊(B辑英文版)
关键词 Hardy-Lorentz spaces Multiplier operator deLeeuw’s theorem HARDY-LORENTZ空间 乘子算子 deLeeuw定理 Lorentz空间
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参考文献6

  • 1[1]Chen, D., Multipliers on certain function spaces, Ph. D. Thesis, University of Wisconsin-Milwaukee,1998.
  • 2[2]Fan, D., Multipliers on certain function spaces, Rend. Circ. Mat. Palermo, 43(1994), 449-463.
  • 3[3]Fan, D. & Wu, Z., Transference of maximal multipliers on Hardy spaces, Proc. Aner. Math. Soc.,123(1995), 3169-3173.
  • 4[4]Kenig, C. & Tomas, P., Maximal operators defined by Fourier multiplier, Studia Math., 68(1980),79-83.
  • 5[5]Liu, Z. & Lu, S., Transference and restriction of maximal multiplier operators on Hardy spaces, Studia Math., 105(1993), 121-134.
  • 6[6]Stein, E. & Weiss, G., Instruction to Fourier Analysis on Euclidean Spaces, Princeton University Press,1971.

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