DOAJ Open Access 2022

Examples of weakly compact sets in Orlicz spaces

D. Dauitbek Y. Nessipbayev K. Tulenov

Abstrak

This paper provides a number of examples of relatively weakly compact sets in Orlicz spaces. We show some results arising from these examples. Particularly, we provide a criterion which ensures that some Orlicz function is increasing more rapidly than another (in a sense of T. Ando). In addition, we point out that if a bounded subset K of the Orlicz space LΦ is not bounded by the modular Φ, then it is possible for a set K to remain unbounded under any modular Ψ increasing more rapidly than Φ.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (3)

D. Dauitbek

Y. Nessipbayev

K. Tulenov

Format Sitasi

APA MLA BibTeX

Dauitbek, D., Nessipbayev, Y., Tulenov, K. (2022). Examples of weakly compact sets in Orlicz spaces. https://doi.org/10.31489/2022M2/72-82

Akses Cepat

PDF tidak tersedia langsung

Cek di sumber asli →

Lihat di Sumber doi.org/10.31489/2022M2/72-82

Informasi Jurnal

Tahun Terbit: 2022
Sumber Database: DOAJ
DOI: 10.31489/2022M2/72-82
Akses: Open Access ✓