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On weighted weak type norm inequalities for one-sided oscillatory singular integrals

Volume 207 / 2011

Zunwei Fu, Shanzhen Lu, Shuichi Sato, Shaoguang Shi Studia Mathematica 207 (2011), 137-151 MSC: Primary 42B20; Secondary 42B25. DOI: 10.4064/sm207-2-3

Abstract

We consider one-sided weight classes of Muckenhoupt type and study the weighted weak type $(1,1)$ norm inequalities for a class of one-sided oscillatory singular integrals with smooth kernel.

Authors

  • Zunwei FuSchool of Sciences
    Linyi University
    276005 Linyi, P.R. China
    e-mail
  • Shanzhen LuSchool of Mathematical Sciences
    Beijing Normal University
    100875 Beijing, P.R. China
    e-mail
  • Shuichi SatoDepartment of Mathematics
    Faculty of Education
    Kanazawa University
    920-1192 Kanazawa, Japan
    e-mail
  • Shaoguang ShiSchool of Mathematical Sciences
    Beijing Normal University
    100875 Beijing, P.R. China
    and
    School of Sciences
    Linyi University
    276005 Linyi, P.R. China
    e-mail

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