Work

Marcinkiewicz–Zygmund inequalities in quasi-Banach function spaces

Year: 2025

Type: article

Abstract: We obtain Marcinkiewicz--ygmund (MZ) inequalities in various Banach and quasi-Banach spaces under minimal assumptions on the structural properties of these spaces. Our main results show that the Bernstein inequality in a general quasi-Banach function lattice $X$ implies Marcinkiewicz-Zygmund type estimates in $X$. We present a general approach to obtain MZ inequalities not only for polynomials but for other function classes including entire functions of exponential type, splines, exponential sums, etc.

Source: Journal of Complexity

DOI: 10.1016/j.jco.2025.101999

Authors: Yurii Kolomoitsev, Sergey Tikhonov

Language: English

Topic: Advanced Banach Space Theory

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,680