Summation of multiple Fourier series in matrix weighted \(L_p\)-spaces

DOI10.1155/2013/135245zbMath1321.42017OpenAlexW1984242076WikidataQ59015228 ScholiaQ59015228MaRDI QIDQ355642

Mohammad Hasan, M. Dambrine

Publication date: 25 July 2013

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

Full work available at URL: https://doi.org/10.1155/2013/135245

zbMATH Keywords

summabilitymultiple Fourier seriesmatrix weighted \(L_p\)-spacesproduct Muckenhoupt \(A_p\) conditionrectangular Fourier partial sums

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) Spaces of vector- and operator-valued functions (46E40) Matrix methods for summability (40C05) Cesàro, Euler, Nörlund and Hausdorff methods (40G05) Fourier series and coefficients in several variables (42B05) Summability in several variables (42B08)

Cites Work

• Unnamed Item
• On stability of finitely generated shift-invariant systems
• Continuous frame decomposition and a vector Hunt-Muckenhoupt-Wheeden theorem
• Matrix \(A_p\) weights via maximal functions.
• Matrix-weighted Besov spaces
• Some recent developments in Fourier analysis and 𝐻^{𝑝}-theory on product domains
• Classical Fourier Analysis
• The Bellman functions and two-weight inequalities for Haar multipliers
• Matrix $A_p$ weights via $S$-functions
• Weighted Norm Inequalities for the Hardy Maximal Function
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform
• Wavelets and the angle between past and future

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