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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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초록· 키워드
오류제보하기
Let τ ≠ δ0 be either a power bounded radial measure with compact support on the unit disc D with τ(D) = 1 such that there is a δ > 0 so that |ˆτ(s)| ≠ 1 for every s ∈ ∑(δ) ＼ {0, 1}, or just a radial probability measure on D. Here, we provide a decomposition of the set X = {h ∈ L∞(D) | limn→∞ h*τn exists}. Let τ1, . . . , τn be measures on D with above mentioned properties. Here, we prove that if f ∈ L∞(Dn) satisfies an invariant volume mean value property with respect to τ1, . . . , τn, then f is n-harmonic.
목차
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참고문헌 (9)
참고문헌 신청
H. Furstenberg / 1963 / A Poisson formula for semi-simple Lie groups / Ann. of Math. 77 : 335 ~ 386
H. Furstenberg / 1972 / Boundaries of Riemannian symmetric spaces. in: Symmetric spaces, Pure and Appl. Math., Vol. 8 / Dekker : 359 ~ 377
J. Arazy / 2001 / Iterates and the boundary behavior of the Berezin transform / Ann. Inst. Fourier (Grenoble) 51 (4) : 1101 ~ 1133
J. Lee / 2008 / Weighted Berezin transform in the polydisc / J. Math. Anal. Appl. 338 (2) : 1489 ~ 1493
M. Engli? / 1994 / Functions invariant under the Berezin transform / J. Funct. Anal. 121 (1) : 233 ~ 254
H. Furstenberg / 1972 / Boundaries of Riemannian symmetric spaces. in: Symmetric spaces, Pure and Appl. Math., Vol. 8 / Dekker : 359 ~ 377
J. Arazy / 2001 / Iterates and the boundary behavior of the Berezin transform / Ann. Inst. Fourier (Grenoble) 51 (4) : 1101 ~ 1133
J. Lee / 2008 / Weighted Berezin transform in the polydisc / J. Math. Anal. Appl. 338 (2) : 1489 ~ 1493
M. Engli? / 1994 / Functions invariant under the Berezin transform / J. Funct. Anal. 121 (1) : 233 ~ 254
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