대한수학회지 (Journal of the Korean Mathematical Society)

  • 제43권3호
  • /
  • Pages.635-658
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  • 2006
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지
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BOUNDEDNESS OF MULTIPLE MARCINKIEWICZ INTEGRAL OPERATORS WITH ROUGH KERNELS

  • Wu Huoxiong (School of Mathematical Sciences Xiamen University)
  • 발행 : 2006.05.01
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초록

This paper is concerned with giving some rather weak size conditions implying the $L^P$ boundedness of the multiple Marcin-kiewicz integrals for some fixed $1\;<\;p\;<\;{\infty}$, which essentially improve and extend some known results.

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참고문헌

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피인용 문헌

  1. Rough Marcinkiewicz integrals along certain smooth curves vol.7, pp.5, 2012, https://doi.org/10.1007/s11464-012-0237-y
  2. On multiple singular integrals along polynomial curves with rough kernels vol.24, pp.2, 2008, https://doi.org/10.1007/s10114-007-1005-x
  3. Rough marcinkiewicz integrals associated to surfaces of revolution on product domains vol.29, pp.2, 2009, https://doi.org/10.1016/S0252-9602(09)60030-8
  4. A note on the generalized Marcinkiewicz integral operators with rough kernels vol.28, pp.12, 2012, https://doi.org/10.1007/s10114-012-1153-5
  5. Rough Marcinkiewicz integrals with mixed homogeneity on product spaces vol.29, pp.7, 2013, https://doi.org/10.1007/s10114-013-1675-5
  6. On rough Marcinkiewicz integrals along surfaces vol.26, pp.4, 2010, https://doi.org/10.1007/s10114-010-7457-4
  7. On the boundedness for the multiple Littlewood–Paley functions with rough kernels vol.410, pp.1, 2014, https://doi.org/10.1016/j.jmaa.2013.08.041
  8. Multiple singular integrals and Marcinkiewicz integrals with mixed homogeneity along surfaces vol.2012, pp.1, 2012, https://doi.org/10.1186/1029-242X-2012-189