Resumen de Norm convolution inequalities in Lebesgue spaces

Erlan Nursultanov, Sergey Tikhonov, Nazerke Tleukhanova

• We obtain upper and similar lower estimates of the (Lp,Lq) norm for the convolution operator. The upper estimate improves on known convolution inequalities. The technique to obtain lower estimates is applied to study boundedness problems for oscillatory integrals.