Allison Lewko

activity

20102012

most citedOrthonormal Systems in Linear Spans

1 citations · 1 across the 2 of their papers we have counts for

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math.CA2012

The Square Variation of Rearranged Fourier Series

Allison Lewko, Mark Lewko

We prove that there exists a rearrangement of the first $N$ elements of the trigonometric system such that the $L^{2}$ -norm of the square variation operator is at most $O_ε(\log^{9/2…

math.CA2012★ 1 cited

Orthonormal Systems in Linear Spans

Allison Lewko, Mark Lewko

We show that any $N$ -dimensional linear subspace of $L^{2} (T)$ admits an orthonormal system such that the $L^{2}$ norm of the square variation operator $V^{2}$ is as small as po…

math.CA2011

Maximal Operators Associated to Multiplicative Characters

Allison Lewko, Mark Lewko

We show that the natural analogue of the Carleson-Hunt inequality fails for multiplicative characters.

math.CA2011

Estimates for the Square Variation of Partial Sums of Fourier Series and their Rearrangements

Allison Lewko, Mark Lewko

We investigate the square variation operator $V^{2}$ (which majorizes the partial sum maximal operator) on general orthonormal systems (ONS) of size $N$ . We prove that the $L^{2}$ norm…

math.CA2010

Endpoint restriction estimates for the paraboloid over finite fields

Allison Lewko, Mark Lewko

We prove certain endpoint restriction estimates for the paraboloid over finite fields in three and higher dimensions. Working in the bilinear setting, we are able to pass from esti…