Norm convolution inequalities in Lebesgue spaces

Erlan Nursultanov, Sergey Tikhonov, Nazerke Tleukhanova
2018 Revista matemática iberoamericana  
We obtain upper and lower estimates of the (p, q) norm of the convolution operator. The upper estimate sharpens the Young-type inequalities due to O'Neil and Stepanov. 2000 Mathematics Subject Classification. Primary 46E30; Secondary 44A35, 47G10.
doi:10.4171/rmi/1004 fatcat:nrq3vfuz7bfubia7i4pzgh6hhi