Pitt-Type Inquality For p>q With GM-Condition

Abstract

In this paper, we examine the results of the Pitt type for the Fourier transform, specifically focusing on scenarios where the parameter p is greater than q. Here, we show that for the Pitt inequality the ’if and only if’ condition established by Saucedo and Tikhonov (The Fourier transform is an extremizer of a class of bounded operators, arXiv.2501.17505) can be extended under restriction to the class of GM functions.