This paper is motivated by the behavior of the heat diffusion kernel p t (x) on a general unimodular Lie group. Indeed, contrary to what happens in R n , the P t (x) on a general Lie group is behaving like t &$(t)Γ2 for two possibly distinct integers $(t), one for t tending to 0 and another for t te
Distance Matrices and Lorentz Space
β Scribed by J.J. Seidel
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 55 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0195-6698
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π SIMILAR VOLUMES
We find a new expression for the norm of a function in the weighted Lorentz space, with respect to the distribution function, and obtain as a simple consequence a generalization of the classical embeddings \(L^{r, 1} \subset \cdots \subset L^{p} \subset \cdots \subset L^{p . r}\) and a new definitio
## Abstract Let Ξ~__w,Ο__~ be the OrliczβLorentz space. We study Gateaux differentiability of the functional Ο~__w,Ο__~ (__f__) = $ \int \_{0} ^{\infty} $ __Ο__ (__f__ \*)__w__ and of the Luxemburg norm. More precisely, we obtain the oneβsided Gateaux derivatives in both cases and we characterize
## I. Arithmetic and Geometric Means Several important inequalities involving arithmetic and geometric means, may be found in the literature. The well known POPOVICIU'S inequality ([I], [3]) reads ## (anlgn)n z(an-llgn-l)n-l When dealing with a question on LORENTZ spaces, we proved a stronger r
Let V be a linear space of even dimension n over a field F of characteristic 0. A subspace W β β§ 2 V is maximal singular if rank(w) β€ n -1 for all w β W and any W W β β§ 2 V contains a nonsingular matrix. It is shown that if W β β§ 2 V is a maximal singular subspace which is generated by decomposable