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- W4287690382 abstract "The Menchov-Rademacher inequality is an inequality in harmonic analysis that bounds the $L_2$ norm of a certain maximal operator. It was first established in order to prove almost everywhere convergence of a one-parameter series of orthogonal functions. When two-parameter series of orthogonal functions is considered, the exact way the series is grouped becomes essential. We will consider grouping of a two-parameter series, generated by a sequence of right triangles with a vertex at the origin, who might be non-equilateral, and prove almost everywhere convergence when the eccentricity of those triangles is bounded. In order to carry out the proof, we will derive an analogue of the Menchov-Rademacher inequality for right triangles." @default.
- W4287690382 created "2022-07-26" @default.
- W4287690382 creator A5006450482 @default.
- W4287690382 date "2020-08-11" @default.
- W4287690382 modified "2023-10-16" @default.
- W4287690382 title "An Upper Bound for the Menchov-Rademacher Operator for Right Triangles" @default.
- W4287690382 doi "https://doi.org/10.48550/arxiv.2008.04554" @default.
- W4287690382 hasPublicationYear "2020" @default.
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