Multimodular spaces and their properties

DOI10.3103/S1066369X17120064zbMath1391.46009OpenAlexW2769068024MaRDI QIDQ1703182

Vadim I. Filippov

Publication date: 1 March 2018

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x17120064

zbMATH Keywords

modular spaces\(E_\varphi\) spacesgeneralized Orlicz spaces and classesmultimodular spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Modular spaces (46A80)

Related Items (1)

Integer expansion in systems of translates and dilates of a single function

Cites Work

• Unnamed Item
• Unnamed Item
• Linear continuous functionals and representation of functions by series in the spaces \(E_{\varphi}\)
• Orlicz spaces and modular spaces
• Absolute convergence of double series of Fourier-Haar coefficients for functions of bounded \(p\)-variation
• On the Kolmogorov theorems on Fourier series and conjugate functions
• Representation systems obtained using translates and dilates of a single function in multidimensional spaces $ E_{\varphi}$

This page was built for publication: Multimodular spaces and their properties