In this paper we prove that for every infinite-dimensional Banach space X and every 1 p<+ there exists a strongly measurable X-valued p-Pettis integrable function on the unit circle T such that the X-valued harmonic function defined as its Poisson integral does not converge radially at any point of
Integral Means of the Poisson Integral of a Discrete Measure
โ Scribed by M. Pavlovic
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 369 KB
- Volume
- 184
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
โฆ Synopsis
It is proved that a function (u), harmonic in the unit disc, can be represented in the form
๐ SIMILAR VOLUMES
## Abstract We prove a natural generalization to the __p__ โLaplacian of the celebrated Rellich identity. (ยฉ 2005 WILEYโVCH Verlag GmbH & Co. KGaA, Weinheim)
## Zcntrnlinstitut Iiir Astropliysik tler Akadciiiic dcr Wisscnschaftcn tier L)L)lI Einc ratlia.1 rckursivc Integration verbcssert rlic Le~eiidre-I)ai-stellui~g dcs I'oisson-Intcgrals vmi acl~sc~~syni~iictrischei~ Massex-erteii i i i y p i , indcni sic dic Z d h l dcr atifzunciidcIic11 ~~cc~io1~o~
This article tests a dielectric model for the variation of hydration free energy with the geometry of complex solutes in water. It reexpresses the Poisson equation of the model to examine the basic aspects of boundary integral methods for these problems. It compares eight examples of dielectric mode
The uniquely solvable system of the Cauchy integral equation of the first kind and index 1 and an additional integral condition are treated. Such a system arises, for example, when solving the skew derivative problem for the Laplace equation outside an open arc in a plane. This problem models the el
An integral representation of the Askey Wilson polynomials is presented in terms of a q-Selberg type integral. Our motivation consists in the study of q-Selberg type integrals from the viewpoint of de Rham theory or holonomic systems.