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http://dx.doi.org/10.4134/CKMS.2003.18.2.263

Lp ESTIMATES WITH WEIGHTS FOR THE (equation omitted)-EQUATION ON REAL ELLIPSOIDS IN Cn  

Ahn, Heung-Ju (Dipartimento di matematica pura ed applicata)
Publication Information
Communications of the Korean Mathematical Society / v.18, no.2, 2003 , pp. 263-280 More about this Journal
Abstract
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.
Keywords
Cauchy-Riemann equation; L$^{p}$ estimates; real ellipsoid;
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