Nonisotropic dilations and the method of rotations with weight

• Sato, Shuichi

• 佐藤, 秀一

Abstract

We consider maximal functions Mf(x,θ), singular integrals Hf(x,θ), and maximal singular integrals Hf(x,θ) on ℝ n × S n-1 associated with homogeneous curves, for functions f on ℝ n. We prove certain weighted mixed norm estimates for them. These results are applied to the theory of singular integrals with variable kernels via the method of rotations of Caldeŕon-Zygmund. © 2011 American Mathematical Society.

Journal

• Proceedings of the American Mathematical Society

  Proceedings of the American Mathematical Society 140 (8), 2791-2801, 2012-01-01

  American Mathematical Society

Keywords

• Homogeneous curves
• Method of rotations
• Nonisotropic dilation
• Singular integrals

Details

• CRID: 1050001335923957632
• NII Article ID: 120004140843
• NII Book ID: AA00781790
• ISSN: 00029939
• Web Site: http://hdl.handle.net/2297/31360
• Text Lang: en
• Article Type: journal article
• Data Source:
  • IRDB
  • CiNii Articles