Weak Derivatives of Functions of Two Variables of Finite Variation
In the paper, we characterize functions of two variables of finite variation with the aid of their weak $$\sigma $$ -additive derivatives. The obtained result is an extension of a characterization of absolutely continuous functions of two variables with the aid of their weak integrable derivatives, derived in (Suryanarayana MB, A Sobolev space and a Darboux problem. Pacific J Math 69(2):535–550, 1977).
Authors
- Dariusz Idczak (ORCID: https://orcid.org/0000-0003-1039-9812)
Institutions
- University of Łódź (PL)
Publication Details
- Journal
- Results in Mathematics
- Published
- 2026-10-09
- DOI
- https://doi.org/10.1007/s00025-026-02742-0
- Primary Topic
- Mathematical and Theoretical Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00