M. G. Magomed-Kasumov, “Basis Property of the Haar System in Weighted Lebesgue Spaces with Variable Exponent”, Mat. Zametki, 2024, Volume 115, Issue 5,Pages <nobr>749

Basis Property of the Haar System in Weighted Lebesgue Spaces with Variable Exponent

M. G. Magomed-Kasumov^ab

^a Daghestan Federal Research Centre of the Russian Academy of Sciences, Makhachkala
^b Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences, Vladikavkaz

Abstract: We obtain necessary and sufficient conditions for the weight under which the Haar system is a basis in a weighted Lebesgue space with variable exponent.

Keywords: Haar system, basis property, Lebesgue space with variable exponent, weight.

UDC: 517.521

MSC: 42C10, 46A35, 46E30

Received: 17.12.2023
Revised: 04.02.2024

DOI: 10.4213/mzm14218