Abstract
A Lebesgue-type decomposition of a (not necessarily non-negative) sesquilinear form with respect to a non-negative one is studied. This decomposition consists of a sum of three parts: two are dominated by an absolutely continuous form and a singular non-negative one, respectively, and the latter is majorized by the product of an absolutely continuous and a singular non-negative forms. The Lebesgue decomposition of a complex measure is given as application.
Original language | English |
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Pages (from-to) | 273-288 |
Number of pages | 16 |
Journal | Annali di Matematica Pura ed Applicata |
Volume | 198 |
Publication status | Published - 2019 |
All Science Journal Classification (ASJC) codes
- Applied Mathematics