Gagliardo–Nirenberg type inequalities for smoothness spaces related to Morrey spaces over n-dimensional torus
Year: 2025
Type: article
Abstract: In the paper, the Gagliardo–Nirenberg type inequalities for smoothness spaces Bpqsτ(Tn) of Nikol’skii–Besov type and spaces Fpqsτ(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.
Authors: Sh.A. Balgimbayeva, A.K. Janabilova
Institution: Institute of Mathematics and Mathematical Modeling
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4408930424