摘要:

In the present paper we establish a result on teh representation of special monogenic functions by the product set of special monogenic polynomials. This generalises to the Clifford setting the analogue result in the complex case. We derive also bounds for the order of the product set of special monogenic polynomials. The constrcted examples show that the resulting bounds are attainable.

ISSN:0278-1077    

DOI:10.1080/17476939608814878

出版商:Gordon and Breach Science Publishers    

年代:1996

数据来源: Taylor

摘要:

This paper establishers the singular integrals of higher order, Plemelj formula and generalized residue with their domains and ranges in a locally convex space. By above results we further solve the singular integral equations of a class and study the stability of solutions in a locally convex space.

ISSN:0278-1077    

DOI:10.1080/17476939608814879

出版商:Gordon and Breach Science Publishers    

年代:1996

数据来源: Taylor

摘要:

In this paper, it is considered for some twodimensional singular integral equations of the hypercomplex functions in he Douglis scnse. In some special cases. the Fredholm conditions and index formula of such equations are obtained.

ISSN:0278-1077    

DOI:10.1080/17476939608814880

出版商:Gordon and Breach Science Publishers    

年代:1996

数据来源: Taylor

摘要:

Given an arbitrary nonnegative locally Hölder continuous 2-formPon an arbitrary open Riemann surfaceR. We will show the existence of an nonnegativeC∞2-formQonRsuch thatQ≥PonRand the Martin compactificationR*QofRwhich is the smallest possible Martin compactification ofR.

ISSN:0278-1077    

DOI:10.1080/17476939608814881

出版商:Gordon and Breach Science Publishers    

年代:1996

数据来源: Taylor

摘要:

We give a strikingly short proof for a recent refinement of Baustein's inequality for entire functions of exponential type.

ISSN:0278-1077    

DOI:10.1080/17476939608814882

出版商:Gordon and Breach Science Publishers    

年代:1996

数据来源: Taylor

摘要:

We consider polynomials of the form, whereq≤ 2 and show that, for. the Hausdorff dimension of the Julia set of such a polynomial satisficswhere. This enables is to obtain an explict value for a bound given by Eremenko for the growth of the mean spherical derivative of a polynomial.

ISSN:0278-1077    

DOI:10.1080/17476939608814883

出版商:Gordon and Breach Science Publishers    

年代:1996

数据来源: Taylor

摘要:

LetPbe a homogeneous polynomial onRNand letbe the partial differential operator associated toP. Bounds forDph(0) are obtained, wherehis a positive harmonic function on the unit ball ofRN, orhis the difference of two such function. For certain polynomialsPthe bounds are shown to be sharp and extremal harmonic functions are identified. The results extend a theorem of Goldstein and Kuran [7] which gives sharp bounds for.

ISSN:0278-1077    

DOI:10.1080/17476939608814884

出版商:Gordon and Breach Science Publishers    

年代:1996

数据来源: Taylor

摘要:

We demonstrate a broad class of functions that are starlike with respect to certain points, but not annular starlike with respect to the identity function on the closed unit disk.

ISSN:0278-1077    

DOI:10.1080/17476939608814885

出版商:Gordon and Breach Science Publishers    

年代:1996

数据来源: Taylor

ISSN:0278-1077    

DOI:10.1080/17476939608814877

出版商:Gordon and Breach Science Publishers    

年代:1996

数据来源: Taylor