On characterization of extremal sets of differentiation of integrals in ℝ2

Autor:	G. A. Karagulyan, D. A. Karagulyan
Rok vydání:	2014
Předmět:	Order of integration (calculus) Discrete mathematics Pure mathematics Control and Optimization Differentiation of integrals Basis (linear algebra) Applied Mathematics Slater integrals Characterization (mathematics) Analysis Mathematics
Zdroj:	Journal of Contemporary Mathematical Analysis. 49:334-351
ISSN:	1934-9416 1068-3623
DOI:	10.3103/s1068362314060090
Popis:	The paper considers a question of characterization of the sets of nondifferentiability points of integrals with respect to the bases of rectangles and squares. In particular, a complete characterization of uncertainty sets for the integrals of functions from Lp(ℝ2), 1 ≤ p ≤ ∞, with respect to the basis of squares is obtained.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::0838be1566176f6b4d4e6e4dbcac9d39 https://doi.org/10.3103/s1068362314060090 Zobrazit plný text záznamu Full text from SpringerLink