On ordinary differentiability of Bessel potentials
نویسندگان
چکیده
منابع مشابه
Theory of Bessel potentials. I
© Annales de l’institut Fourier, 1961, tous droits réservés. L’accès aux archives de la revue « Annales de l’institut Fourier » (http://annalif.ujf-grenoble.fr/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier...
متن کاملGeneralized Bessel and Riesz Potentials on Metric Measure Spaces
There is a rich literature on the study of Bessel and Riesz potentials on the Euclidean space R, see for example the books [23, 20, 1, 16] and the references therein. However, little is known on how to extend the Bessel and Riesz potentials to metric measure spaces in a reasonable way. This issue is interesting in that it is closely related with the study of various current topics, such as the ...
متن کاملEstimates for continuity envelopes and approximation numbers of Bessel potentials
In this paper we study spaces of Bessel potentials in n-dimensional Euclidean spaces. They are constructed on the basis of a rearrangement-invariant space (RIS) by using convolutions with Bessel-MacDonald kernels. Specifically, the treatment covers spaces of classical Bessel potentials. We establish two-sided estimates for the corresponding modulus of smoothness of order k ∈ N, ωk(f ; t), and d...
متن کاملBessel potentials and optimal Hardy and Hardy-Rellich inequalities
We give necessary and sufficient conditions on a pair of positive radial functions V and W on a ball B of radius R in R, n ≥ 1, so that the following inequalities hold for all u ∈ C 0 (B):
متن کاملOn Concepts of Directional Differentiability
Various definitions of directional derivatives in topological vector spaces are compared. Directional derivatives in the sense of G~teaux, Fr6chet, and Hadamard are singled out from the general framework of cr-directional differentiability. It is pointed out that, in the case of finite-dimensional spaces and locally Lipschitz mappings, all these concepts of directional differentiability are equ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annales Polonici Mathematici
سال: 1984
ISSN: 0066-2216,1730-6272
DOI: 10.4064/ap-44-3-325-352