摘要:

It has been proved previously [8] that the initial-value problemwhere the operator L is defined byin the spacepD(E) of pseudoholomorphic functions in the sense PD(E) of Bers turns out to be solvable by the abstract Cauchy-Kowalewski theorem.

ISSN:0278-1077    

DOI:10.1080/17476939808815109

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor

摘要:

We study some isoperimetric problems for plane polygons. In particular we show that among all hyperbolicn-gons with a fixed number of sides the regular one has the maximal value of the ratio “conformal radius : perimeter”. Forn-gon admitting a fulln-sides reflection by theamplification coefficientwe mean the ratio of the conformal radii of given and reflected polygons. We prove that the amplification coefficient takes the minimal value only for the regularn-gons, that confirms the conjecture posed by J. Hersch [6].

ISSN:0278-1077    

DOI:10.1080/17476939808815110

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor

摘要:

Let γ be a hyperbolic automorphism of δn:and let Γ be the subgroup ofAutδn:generated by γ we prove (Propositions 1.3 and 1.5) that all the manifolds of the form δn:/Γ are biholomorphic to bounded strictly pseudo-convex domains inCn:, and therefore they are Stein.

ISSN:0278-1077    

DOI:10.1080/17476939808815111

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor

摘要:

The main result in this paper is an extension of T. D. Zhong's for the boundary properties of a Bochner-Martinelli type integral on a bounded domain withC2-smooth boundary and on a manifold withC2-smooth boundary to a Stein manifold with piecewise smooth boundaries (even to non-closed piecewise smooth Stein manifold). Using the local expression of the Henkin-Leiterer kernel in term of usual Bochner-Martinelli type kernel defined on Stein manifolds, the author proves a more general Plemelj formula:are both belong toH(vbD) for the Bochner-Martinelli transform on piecewise smooth manifolds.

ISSN:0278-1077    

DOI:10.1080/17476939808815112

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor

摘要:

In this paper we obtain the best estimations for some coefficients of several subclasses of biholomorphic mappings defined on the unit ball of. As a consequence, we give some bounds for coefficients of starlike, starlike of order a ε (0,1) and convex mappings on the unit ball of.

ISSN:0278-1077    

DOI:10.1080/17476939808815113

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor

摘要:

One-parameter families of quaternionic linear-fractional transformations are defined in terms of the exponential mapping from the Lie algebra of PSL2H. The invariance of loxodromic curves allows us to characterize the fixed points corresponding to the family exp(tX) in terms of the generatorX∈ sl2H. Certain degenerate cases are described; it is shown that for nonplanar loxodromes the generator is unique.

ISSN:0278-1077    

DOI:10.1080/17476939808815114

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor

摘要:

A meromorphic functionfdefined in the unit discDof a complex plane, is called a normal function ifwhereis the spherical derivativeoff. Further, we say thatfis a little normal function ifWe answer two open questions raised by R. Aulaskari and R. Zhao (Complex Variables Vol. 28, 1995, pp. 135-148) on normal functions and little normal functions in negative and give a new characterization of normal functions.

ISSN:0278-1077    

DOI:10.1080/17476939808815115

出版商:Gordon and Breach Science Publishers    

年代:1998

数据来源: Taylor