摘要:

Using the well-known Stone-Weierstrass theorem, the paper proves that (real valued) continuous functions can be approximated uniformly by polynomials in solutions of elliptic differential equations. Moreover, the article discusses the question how many solutions are necessary in order to generate a subring of such polynomials whose closure is dense in the ring of continuous functions.

ISSN:0278-1077    

DOI:10.1080/17476939508814808

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor

摘要:

We prove a vanishing theorem for interpolation manifolds in the boundary of a Siegel domain and characterize the smooth submanifolds ofCPnwhich arise as projections viaof interpolation manifolds in the boundary of a complete circular domain.

ISSN:0278-1077    

DOI:10.1080/17476939508814809

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor

摘要:

This paper deals with weighted boundary limits of polyharmonic functions on a bounded Lipschitz domainGwith finite Dirichlet-type integral. There are many known results about the existence of angular limits for harmonic functions. Recently, tangential behaviours are studied mainly for harmonic functions. Our aim in this paper is to study the existence os weighted limit: limk(x)u(x)asxtends to the bounded, the limit is replaced by the usual tangential limit.

ISSN:0278-1077    

DOI:10.1080/17476939508814810

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor

摘要:

According to one of Noell's results, there are no peak-interpolation manifolds forA∞(D). if domainDhas smooth boundary. But aC∞-submanifoldM⊂TnwhereTnis the distinguished boundary of polydiscUn, is locally a peak-interpolation manifold forA∞(Un) if it satisfies the “open cone” condition. This gives the answer to a problem by Saerens.

ISSN:0278-1077    

DOI:10.1080/17476939508814811

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor

摘要:

Jimbo and Sakai defined interpolation manifolds on a product domain and discussed the properties of them. In this paper, it will be pointed out that forA(D)the interpolation manifolds are different. Peak interpolation manifolds forA∞(D) are studied as well.

ISSN:0278-1077    

DOI:10.1080/17476939508814812

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor

ISSN:0278-1077    

DOI:10.1080/17476939508814813

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor

摘要:

The little Bloch spaceB0its Carleson measure, atomic decomposition and free interpolation are characterized, whereB0is the set of functionsfanalytic onD.

ISSN:0278-1077    

DOI:10.1080/17476939508814814

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor

摘要:

The object of the present paper is to investigate the starlikeness of certain integral operators which are defined for analytic functions. The main theorem proved here provides a generalization of a recent result due to Y. C. Kim, K. S. Lee, and H. M. Srivastava [2] Some other interesting consequences of the main result are also considered.

ISSN:0278-1077    

DOI:10.1080/17476939508814815

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor

ISSN:0278-1077    

DOI:10.1080/17476939508814807

出版商:Gordon and Breach Science Publishers    

年代:1995

数据来源: Taylor