The $\theta $-bump theorem for product fractional integrals

Eric Sawyer, Zipeng Wang Studia Mathematica MSC: Primary 42B35. DOI: 10.4064/sm180815-16-3 Published online: 13 December 2019

Abstract

We extend the one-parameter $\theta $-bump theorem for fractional integrals of Sawyer and Wheeden to the setting of two parameters, as well as improving the multiparameter result of Tanaka and Yabuta for doubling weights to classical reverse doubling weights.

Authors

  • Eric SawyerDepartment of Mathematics & Statistics
    McMaster University
    Hamilton, ON, Canada L8S 4K1
    e-mail
  • Zipeng WangDepartment of Mathematics & Statistics
    McMaster University
    Hamilton, ON, Canada L8S 4K1
    e-mail

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