Let C p be the collection of real-valued functions f defined on E &p such that f is uniformly continuous on bounded subsets of Then C is a complete countably normed space equipped with the family [&}& , p : p=1, 2, 3, ...] of norms. In this paper it is shown that to every bounded linear functional
A Continuity Theorem for Generalized Riesz Potentials
β Scribed by M.J. Stark
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 120 KB
- Volume
- 188
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
of Denton (Texas) (Eingegangen am 4.6. 1971) ## 1. Definitions Let a, be a giveninfinite series and let A, = il (n) be a positive inonotonic function of n tending t o infinity with n. We write The series z c n , i s said to he summable (R, An, r ) , r 2 0, t o sum s, if A > ( w ) / w ' --+ s, as
Pincherle theorems equate convergence of a continued fraction to existence of a recessive solution of the associated linear system. Matrix continued fractions have recently been used in the study of singular potentials in high energy physics. The matrix continued fractions and discrete Riccati equat
We prove a rather general mean-value formula in the theory of elasticity, which expresses the value of the displacement at the centre of a sphere in terms of certain combinations of integral averages over the sphere itself of the traction and the displacement. We also establish the corresponding con