학술저널
ON SOME MEASURE RELATED WITH POISSON INTEGRAL ON THE UNIT BALL
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 22, No. 1
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2009.0389 - 99 (11 pages)
- 0
Let μ be a finite positive Borel measure on the unit ball B Cn and be the Euclidean volume measure such that (B) = 1. For the unit sphere S = {z : |z| = 1}, is the rotation-invariant measure on S such that (S) = 1. Let P[f] be the invariant Poisson integral of f. We will show that there is a constant M > 0 such that R B|P[f](z)|pdμ(z) MRB|P[f](z)|pd(z) for all f 2 Lp() ifand only if k μ kr = supz2Bμ(E(z,r))(E(z,r)) < 1.
1. Introduction
2. Lp(B, d)-measure
3. Notes on measure related with Poisson Integral
References
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