DOAJ Open Access 2020

Interpolation theorem for Nikol’skii-Besov type spaceswith mixed metric

K.A. Bekmaganbetov K.Ye. Kervenev Ye. Toleugazy

Abstrak

In this paper we study the interpolation properties of Nikol’skii-Besov spaces with a dominant mixed derivative and mixed metric with respect to anisotropic and complex interpolation methods. An interpolation theorem is proved for a weighted discrete space of vector-valued sequences lαq (A). It is shown that the Nikol’skii-Besov space under study is a retract of the space lαq (Lp). Based on the above results, interpolation theorems were obtained for Nikol’skii-Besov spaces with the dominant mixed derivative and mixed metric.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (3)

K.A. Bekmaganbetov

K.Ye. Kervenev

Ye. Toleugazy

Format Sitasi

APA MLA BibTeX

Bekmaganbetov, K., Kervenev, K., Toleugazy, Y. (2020). Interpolation theorem for Nikol’skii-Besov type spaceswith mixed metric. https://doi.org/10.31489/2020m4/33-42

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Informasi Jurnal

Tahun Terbit: 2020
Sumber Database: DOAJ
DOI: 10.31489/2020m4/33-42
Akses: Open Access ✓