Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
권호 표지
DOI QR코드

DOI QR Code

CONTINUITY FOR COMMUTATORS OF LITTLEWOOD-PALEY OPERATORS ON CERTAIN HARDY SPACES

  • Lanzhe, Liu (Department of Applied Mathematics Hunan University)
  • Published : 2003.01.01
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, the continuity for the commutators of Littlewood-Paley operators on certain Hardy and Herz-Hardy spaces are obtained.

Keywords

References

  1. Collect. Math. v.49 Continuity properties for linear commutators of Calderon-Zygmund operators J. Alvarez
  2. Studia Math. v.104 Weighted estimates for commutators of linear operators J. Alvarez;R. J. Babgy;D. S. Kurtz;C. Perez https://doi.org/10.4064/sm-104-2-195-209
  3. Ann. of Math. v.103 Factorization theorem for Hardy spaces in several variables R. Coifman;R. Rochberg;G. Weiss https://doi.org/10.2307/1970954
  4. Proc. London Math. Soc. v.69 A theory of Hardy spaces associated to Herz spaces J. Garcia-Cuerva;M. J. L. Herrero https://doi.org/10.1112/plms/s3-69.3.605
  5. J. of Beijing Normal University (Natural Sci.) v.31 The weak Herz spaces G. Hu;S. Lu;D. Yang
  6. Adv. Math. (China) v.26 The applications of weak Herz spaces G. Hu;S. Lu;D. Yang
  7. Lecture Notes in Math. v.1494 The weak $H^p$ spaces on homogeneous groups H. Liu https://doi.org/10.1007/BFb0087762
  8. Studia Math. v.116 The local versions of $H^p(\mathbb{R}^n)$ spaces at the origin S. Lu;D. Yang https://doi.org/10.4064/sm-116-2-103-131
  9. Sci. China Ser. A v.38 The decomposition of the weighted Herz spaces and its applications S. Lu;D. Yang
  10. Sci. China. Ser. A v.38 The weighted Herz spaces type Hardy spaces and its applications S. Lu;D. Yang
  11. Michigan Math. J. v.44 The continuity of commutators on Herz type spaces S. Lu;D. Yang https://doi.org/10.1307/mmj/1029005703
  12. J. Funct. Anal. v.128 Endpoint estimates for commutators of singular integral operators C. Perez https://doi.org/10.1006/jfan.1995.1027
  13. Princeton Mathematical Series v.43 Harmonic Analysis: real variable methods orthogonality and oscillation integrals E. M. Stein
  14. Rend. Circ. Mat. Palermo no.suppl.1 Weak type estimates for maximal operators on certain $H^p$ spaces E. M. Stein;M. Taibleson;G. Weiss
  15. Pure and Applied Math. v.123 The real variable methods in harmonic analysis A. Torchinsky

Cited by

  1. Triebel-lizorkin space estimates for multilinear operators of sublinear operators vol.113, pp.4, 2003, https://doi.org/10.1007/BF02829632
  2. Multilinear integral operators and mean oscillation vol.114, pp.3, 2004, https://doi.org/10.1007/BF02830002
  3. Boundedness of Toeplitz type operators associated to Riesz potential operator with general kernel on Orlicz space vol.13, pp.1, 2015, https://doi.org/10.1515/math-2015-0065
  4. Endpoint estimates for multilinear operators of some sublinear operators on Herz and Herz type Hardy spaces vol.42, pp.2, 2005, https://doi.org/10.1556/SScMath.42.2005.2.2