Necessary conditions for the weak generalized localization of Fourier series with ``lacunary sequence of partial sums

DOI10.1134/S0001434609090119zbMath1178.42012MaRDI QIDQ1048582

O. V. Lifantseva

Publication date: 12 January 2010

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Euclidean spacerectangular partial sumlacunary sequencemultiple trigonometric Fourier seriesmeasurable setweak generalized localization\(n\)-block

Mathematics Subject Classification ID

Fourier series and coefficients in several variables (42B05)

Cites Work

• Generalized localization and convergence tests for double trigonometric Fourier series of functions from \(L_ p\), \(p>1\)
• Weak generalized localization for multiple Fourier series whose rectangular partial sums are considered with respect to some subsequence
• On the divergence of multiple Fourier series

This page was built for publication: Necessary conditions for the weak generalized localization of Fourier series with ``lacunary sequence of partial sums