Multilinear Riesz Potential on Morrey-Herz Spaces with Non-Doubling Measures

نویسندگان

  • Yanlong Shi
  • Xiangxing Tao
  • Taotao Zheng
  • Nikolaos Papageorgiou
چکیده

The authors consider the multilinear Riesz potential operator defined by Iα,m − → f x ∫ Rd m f1 y1 f2 y2 · · · fm ym /| x−y1, . . . , x−ym |mn−α dμ y1 · · ·dμ ym , where − → f denotes themtuple f1, f2, . . . , fm , m,n the nonnegative integers with n ≥ 2, m ≥ 1, 0 < α < mn, and μ is a nonnegative n-dimensional Borel measure. In this paper, the boundedness for the operator Iα,m on the product of homogeneous Morrey-Herz spaces in nonhomogeneous setting is found.

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تاریخ انتشار 2010