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math.FA2016★ 4 cited
Weighted Fourier inequalities via rearrangements
Javad Rastegari, Gord Sinnamon
The method of using rearrangements to give sufficient conditions for Fourier inequalities between weighted Lebesgue spaces is revisited. New results in the case q < p are establish…
math.FA2015★ 4 cited
Fourier series in weighted Lorentz spaces
Javad Rastegari, Gord Sinnamon
The Fourier coefficient map is considered as an operator from a weighted Lorentz space on the circle to a weighted Lorentz sequence space. For a large range of Lorentz indices, nec…