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Some Multi-sublinear Operators on generalized Morrey spaces with non-doubling measures

Yanlong Shi|Xiangxing Tao
대한수학회 (The Korean Mathematical Society)|2012.09|대한수학회지 (Journal of the KMS)|제49권 제5호|pp. 907-925

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참고문헌

키워드

multilinear Calderon-Zygmund operatormultilinear fraction-al integralmulti-sublinear maximal functiongeneralized Morrey spacesnon-doubling measure.
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초록

In this paper the boundedness for a large class of multi-sublinear operators is established on product generalized Morrey spaces with non-doubling measures. As special cases, the corresponding results for multilinear Calderon-Zygmund operators, multilinear fractional inte-grals and multi-sublinear maximal operators will be obtained.

Abstract

In this paper the boundedness for a large class of multi-sublinear operators is established on product generalized Morrey spaces with non-doubling measures. As special cases, the corresponding results for multilinear Calderon-Zygmund operators, multilinear fractional inte-grals and multi-sublinear maximal operators will be obtained.

참고문헌 (15)

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  10. Y. Shi, "Boundedness for multilinear fractional integral operators on Herz type spaces", Appl. Math. J. Chinese Univ. Ser. B, 23(4), pp.437~446 (2008)
  11. Y. Shi, "Multilinear Riesz potential operators on Herz-type spaces and generalized Mor- rey spaces", Hokkaido Math. J, 38(4), pp.635~662 (2009)
  12. E. M. Stein, "Harmonic Analysis: Real-Variable methods, Orthogonality, and Oscillatory Integrals" (1993), Princeton N. J. Princeton Univ Press
  13. X. Tao, "Boundedness of multilinear Riesz potential on the product of Morrey and Herz-Morrey spaces", Acta Math. Sinica (Chin. Ser.), 52(3), pp.535~548 (2009)
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