ملخص البحث
We estimate the truncated double trigonometric series
∑n=oN∑m=oMamne2πι(mx+ny),amn∈C, in Lebesgue spaces with mixed norms in terms of the pth−qth power finite double sums of its coefficients. We obtain these estimates for all possible values of the exponents involved and we provide examples of matrices in cM×N that maximize some of them up to a constant independent of M and N. We also handle the more general case where the oscillatory factors in the sum terms are not orthogonal in either variable.
قسم البحث
مجلة البحث
ACTA MATHEMATICA HUNGARICA
المشارك في البحث
الناشر
Springer
تصنيف البحث
1
عدد البحث
Vol. 148 -No. 2
موقع البحث
http://link.springer.com/article/10.1007/s10474-015-0573-y
سنة البحث
2016
صفحات البحث
pp. 425-436