대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제18권2호
  • /
  • Pages.263-280
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  • 2003
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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Lp ESTIMATES WITH WEIGHTS FOR THE (equation omitted)-EQUATION ON REAL ELLIPSOIDS IN Cn

  • 발행 : 2003.04.01
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초록

We prove weighted L$^{p}$ estimates with respect to the non-isotropic norm for the (equation omitted)-equation on real ellipsoids, where weights are powers of the distance to the boundary. The non-isotropic norm is smaller than the usual norm, by a factor which is equal to the distance to the boundary in the complex tangential component and which is equal to the m-th root of the distance to the boundary in the complex normal component. Here n is the maximal order of contact of the boundary of the real ellipsoid with complex analytic curves.

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참고문헌

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