DOAJ Open Access 2025

Gagliardo–Nirenberg type inequalities for smoothness spaces related to Morrey spaces over n-dimensional torus

Sh.A. Balgimbayeva A.K. Janabilova

Abstrak

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.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (2)

Sh.A. Balgimbayeva

A.K. Janabilova

Format Sitasi

APA MLA BibTeX

Balgimbayeva, S., Janabilova, A. (2025). Gagliardo–Nirenberg type inequalities for smoothness spaces related to Morrey spaces over n-dimensional torus. https://doi.org/10.31489/2025m1/53-62

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Informasi Jurnal

Tahun Terbit: 2025
Sumber Database: DOAJ
DOI: 10.31489/2025m1/53-62
Akses: Open Access ✓