On L_p-integrability of functions with general monotone Fourier coefficients

2025/10/16 by Mukanov, Askhat, Nursultanov, Erlan
#42A16 #42A32 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2510.14458

Abstract

We introduce new classes of general monotone sequences and study their properties. For functions whose Fourier coefficients belong to these classes, we establish Hardy-Littlewood-type theorems.

Related

• Growth and integrability of Fourier transforms on Euclidean space
• L_p→ L_q boundedness of Fourier multipliers
• Fourier multipliers for Hardy spaces of Dirichlet series
• General monotonicity, interpolation of operators, and applications
• Completely monotone sequences and harmonic mappings