摘要:

The equationis considered together with initial conditions. The looked for solution should belong toL2(0,∞) as well as its derivatives up to themth order. The question under consideration is: what conditions should fulfill parameters to ensure solvability of the Cauchy problem. Under certain assumptions this problem is reduced to the one of finding some term, in the Lorent series of a particular function.

ISSN:0278-1077    

DOI:10.1080/17476939508814824

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor

摘要:

In this paper, the structural stability and theJ-stability of exponential functionsare considered. It is proved that the set of structurally unstableEλis exactly the boundary of the set ofEλwith zero orbit escaping to infinite and is also the closure of the set ofEλwith eventually periodic zero orbit. Moreover, a criterion for theJ-stability ofEλand polynomials is obtained.

ISSN:0278-1077    

DOI:10.1080/17476939508814825

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor

摘要:

Let Γ be a Fuchsian group inand G a Kleinian group with 0,1,∞ in its limit set ∧ (G). We consider a meromorphic functionsuch thatand the same g =f*(γ) εGn both halfplanes. We investigate whether this situation can occur except in the trivial case that.

ISSN:0278-1077    

DOI:10.1080/17476939508814826

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor

摘要:

We recall the Bergman kernel, Cauchy kernel and Poisson kernel for the exceptional Cartan domain of dimension 16, and realize it as bounded symmetric domain by matrix form. Its Cartan involution is also obtained.

ISSN:0278-1077    

DOI:10.1080/17476939508814827

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor

摘要:

In the Summer Seminar at Tateyama in Japan of Several Complex Variables, 18th July 1994, Professor T. Ohsawa posed the following problem in his talk [11].

ISSN:0278-1077    

DOI:10.1080/17476939508814828

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor

摘要:

Let Ω be aC∞bounded strongly pseudoconvex domain inCn. Forbe the space of functions on Ωthat are square integrable with respect to the measure |ρ|vdm. Letbe the subspace ofL2(|ρ|vdm) consisting of the holomorphic functions. We consider the weighted Bergman projection. We prove thatPvadmits both local and global regularity estimates in Sobolev norms, and that the weighted kernel functionKv(z,w) is smooth up to the boundary off the boundary diagonal. As a consequence we prove estimates for the solution to the-equation which is minimal in theL2(|ρ|vdm)-norm.

ISSN:0278-1077    

DOI:10.1080/17476939508814829

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor

摘要:

Solutions of the Riccati equationW′ +W2=e2zare known to be asymptotic toezore-z. We show that those solutions which are asymptotic toezhaveregular growthoverC(ez) as z→∞ in funnel-like regionsDbetween curves of the form. Here the notion of regular growth over a differential fieldHof holomorphic germs onDis inspired by real Hardy field theory and is a generalization of the classical notion of non-oscillation. It means that for any differential polynomialP(X,X′,…) with coefficients inH, the functionP(W,W′,…) is ultimately zero free inDor identically zero.

ISSN:0278-1077    

DOI:10.1080/17476939508814830

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor

ISSN:0278-1077    

DOI:10.1080/17476939508814823

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor