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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 (which majorizes the partial sum maximal operator) on general orthonormal systems (ONS) of size . We prove that the norm…