CrossRef Open Access 2023 8 sitasi

Sharpness of some Hardy-type inequalities

Lars-Erik Persson Natasha Samko George Tephnadze

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Abstrak

Abstract The current status concerning Hardy-type inequalities with sharp constants is presented and described in a unified convexity way. In particular, it is then natural to replace the Lebesgue measure dx with the Haar measure $dx/x$ d x / x . There are also derived some new two-sided Hardy-type inequalities for monotone functions, where not only the two constants are sharp but also the involved function spaces are (more) optimal. As applications, a number of both well-known and new Hardy-type inequalities are pointed out. And, in turn, these results are used to derive some new sharp information concerning sharpness in the relation between different quasi-norms in Lorentz spaces.

Penulis (3)

Lars-Erik Persson

Natasha Samko

George Tephnadze

Format Sitasi

APA MLA BibTeX

Persson, L., Samko, N., Tephnadze, G. (2023). Sharpness of some Hardy-type inequalities. https://doi.org/10.1186/s13660-023-03066-1

Akses Cepat

Lihat di Sumber doi.org/10.1186/s13660-023-03066-1

Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Total Sitasi: 8×
Sumber Database: CrossRef
DOI: 10.1186/s13660-023-03066-1
Akses: Open Access ✓