摘要:

The Einstein-Kähler metrics with -1 Ricci curvature for a class of egg domains inare given in the explicit forms. Under those metrics, it is very interesting that the holomorphic sectional curvatures are equal to the same constant -2/(n+1).

ISSN:0278-1077    

DOI:10.1080/17476939808815102

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor

摘要:

The Koppelman-Leray-Norguet formula for a localq-concave wedge in Stein manifolds is obtained, which don't involve boundary integrals, so one can avoid complexity estimations of boundary integrals, moreover the density not necessarily defined on boundary, it may be applied to solve-equation of (r, s) form and to discuss the holomorphic extension problem in local q-concave wedges.

ISSN:0278-1077    

DOI:10.1080/17476939808815103

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor

摘要:

We construct generalized Jacobi cusp forms associated to the monodromy representation of an elliptic surface and prove that the space of such Jacobi cusp forms is isomorphic to the space of sections of a certain line bundle over the associated elliptic surface.

ISSN:0278-1077    

DOI:10.1080/17476939808815104

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor

摘要:

In this paper, we will give two generalizations of the Schwarz lemma. One is the Schwarz lemma on a Kähler model whose Ricci curvature is nonpositive and bounded from below by a function of at most quadratic decay, and the other is on a complete Kähler manifold whose Ricci curvature is bounded from below by a negative unbounded function.

ISSN:0278-1077    

DOI:10.1080/17476939808815105

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor

摘要:

Lettbe a non-negative function ofC1[0, ∞) such thattt(0) = 0 andt′(r) ↑ ∞ asr↑ ∞ We prove that there exists an entire functionfnon-negative onRand satisfying the following conditions:

ISSN:0278-1077    

DOI:10.1080/17476939808815106

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor

摘要:

The author describes those curves Γ inD:= {z: |z| < 1} that have the property thatD|Γ is the disjoint union of two Dirichlet regionsAandBand there exist pointsainAandbinBsuch that ω(.,Aa)|Γ ≡const ω (.,Bb)|Γ ω(;Aa) denotes harmonic measure on ∂Aevaluated ata, and similarly for ω(.Bb).

ISSN:0278-1077    

DOI:10.1080/17476939808815107

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor

摘要:

LetS(θ) denote a Stolz-type angle centered ateiθcontained in the unit disk Δ = {z: |z| < 1}. In this paper we prove that iffis a fractional analytic Cauchy-Stieltjes transform on Δ, then |f′(z)|2is integrable with respect to area measure onS(θ) for almost every θ.

ISSN:0278-1077    

DOI:10.1080/17476939808815108

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor