SIMILAR TRANSFORMATION OF ONE CLASS OF WELL-DEFINED RESTRICTIONS
In this paper there is considered the description of all well-defined restrictions of a maximal operator in a Hilbert space. A class of well-defined restrictions is found for which a similar transformation has the domain of the fixed well-defined restriction. The resulting theorem is applied to the study of \( n \)-order differentiation operator and the Laplace operator.
Authors
- B. N. Biyarov (ORCID: https://orcid.org/0000-0002-5411-579X)
Publication Details
- Journal
- Eurasian Mathematical Journal
- Published
- 2025-01-01
- DOI
- https://doi.org/10.32523/2077-9879-2025-16-1-08-21
- Primary Topic
- Advanced Theoretical and Applied Studies in Material Sciences and Geometry
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Università degli Studi di Padova
- RUDN University