Gagliardo–Nirenberg type inequalities for smoothness spaces related to Morrey spaces over n-dimensional torus
Balgimbayeva S.A. Janabilova A.K.
2025E.A. Buketov Karaganda University Publish house
Bulletin of the Karaganda University. Mathematics Series
2025#117Issue 153 - 62 pp.
In the paper, the Gagliardo–Nirenberg type inequalities for smoothness spaces Bpsqτ(Tn) of Nikol’skii–Besov type and spaces Fpsqτ(Tn) of Lizorkin–Triebel type both related to Morrey spaces over n-dimensional torus for some range of the parameters s, p, q, τ were proved. These spaces are natural analogues of the spaces Bpqsτ(Rn) and Fpqsτ(Rn) in the case of multidimensional torus Tn. The main results of the article are two theorems, each of which proves the Gagliardo–Nirenberg type inequality for the Lizorkin–Triebel type spaces or the Nikol’skii–Besov type spaces respectively.
Gagliardo–Nirenberg type inequalities , multidimensional torus , Nikol’skii–Besov/Lizorkin–Triebel smoothness spaces related to Morrey space
Text of the article Перейти на текст статьи
Department of Function Theory and Functional Analysis, Institute of Mathematics and Mathematical Modeling, 28 Shevchenko str., Almaty, 050010, Kazakhstan
Department of Function Theory and Functional Analysis
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026