Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

A new BLO estimate for maximal singular integral operators


In this paper, we extend Hu and Zhang’s results in [2] to different case.

This is a preview of subscription content, log in to check access.


  1. [1]

    Calderón, A.P., Weiss, M. and Zygmund, A., On the Existence of Singular Integrals, Proc. Symp. Pure Math., 1976, 10:56–73.

  2. [2]

    Hu, G. E. and Zhang, Q.H., A BLO Estimates for Maximal Singular Integral Operator, Advances in Math., 36:1(2007).

  3. [3]

    Hardy, G. H., Littlewood, J.E. and Pólya, G., Inequalities, Second Edition. Cambridge, 1952.

  4. [4]

    Pérez, C., Endpoint Estimates for Commutators of Singular Integral Operators, Journal of functional analysis, 128:1(1995), 163–185.

  5. [5]

    Zygmund, A., Trigonometric Series, Third Edition. Cambridge, 2002.

Download references

Author information

Correspondence to Qiquan Fang.

Additional information

Project 10671062 is supported by NSF of China, Project 11071065 is supported by NSF of China, Project 20094306110004 supported by RFDP of high education of China and Supported by the Program for Science and Technology Research Team in Higher Educational Institutions of Hunan Province.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Fang, Q., Shi, X. A new BLO estimate for maximal singular integral operators. Anal. Theory Appl. 27, 211–219 (2011).

Download citation

Key words

  • BLO
  • singular integral operator

AMS (2010) subject classification

  • 42A50
  • 42A16