On multipliers of Fourier series in the Lorentz space.

Autor: Ydyrys, Aizhan Zh., Tleukhanova, Nazerke T.
Předmět:
Zdroj: AIP Conference Proceedings; 2016, Vol. 1759 Issue 1, p1-7, 7p
Abstrakt: We study the multipliers of Fourier series on the Lorentz spaces, in particular, the sufficient conditions for a sequence of complex numbers {λk}k∈Z in order to make it a multiplier of trigonometric Fourier series of space Lp,r[0;1] in the Lq,r[0;1]: In the paper there is a new multipliers theorem which is supplement of the well-known theorems, and given a counterexample. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index