Another proof of the boundedness of Calder?n-Zygmund singular integrals on generalized Orlicz spaces

作者：Wang, Songbai^*; Zhou, Jiang

来源：Bulletin des Sciences Mathematiques, 2022, 179: 103176.

DOI：10.1016/j.bulsci.2022.103176

• Calder?n-Zygmund singular integral operator
• Generalized Orlic space
• Hardy space

We use the atomic decomposition of the generalized Orlicz- Hardy space to reprove that Calderon-Zygmund singular integrals are bounded on the generalized Orlicz space, which was obtained in [7, Corollary 6.2] where the authors applied extrapolation on the generalized Orlicz space to prove it. By our method, we assume a weaker regularity on the kernel of Calderon-Zygmund singular integral operators.

• 单位
  新疆大学