대한수학회지 (Journal of the Korean Mathematical Society)

  • 제46권3호
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  • Pages.577-588
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  • 2009
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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Lp-BOUNDEDNESS FOR THE COMMUTATORS OF ROUGH OSCILLATORY SINGULAR INTEGRALS WITH NON-CONVOLUTION PHASES

  • Wu, Huoxiong (SCHOOL OF MATHEMATICAL SCIENCES XIAMEN UNIVERSITY)
  • 발행 : 2009.05.01
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초록

In this paper, the author studies the k-th commutators of oscillatory singular integral operators with a BMO function and phases more general than polynomials. For 1 < p < $\infty$, the $L^p$-boundedness of such operators are obtained provided their kernels belong to the spaces $L(log+L)^{k+1}(S^{n-1})$. The results of the corresponding maximal operators are also established.

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참고문헌

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피인용 문헌

  1. Non-standard commutators for rough oscillatory singular integrals vol.25, pp.3, 2009, https://doi.org/10.1007/s10496-009-0230-9