Mathematical analysis, differentiation, Lebesgue integral and functional
Mathematical analysis, differentiation, Lebesgue integral and functional analysis
Mathmatical analysis, differentiation, Lebesgue integral and functional analysis
| Full text | |
| Author(s): |
de Castro, Mario H.
;
Menegatto, Valdir A.
;
Peron, Ana P.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | BANACH JOURNAL OF MATHEMATICAL ANALYSIS; v. 6, n. 2, p. 15-pg., 2012-01-01. |
| Abstract | |
We investigate the traceability of positive integral operators on L-2(X, mu) when X is a Hausdorff locally compact second countable space and mu is a non-degenerate, sigma-finite and locally finite Borel measure. This setting includes other cases proved in the literature, for instance the one in which X is a compact metric space and mu is a special finite measure. The results apply to spheres, tori and other relevant subsets of the usual space R-m. (AU) | |
| FAPESP's process: | 10/19734-6 - Analysis of integral operators generated by positive definite kernels |
| Grantee: | Valdir Antonio Menegatto |
| Support Opportunities: | Regular Research Grants |