Abstract
This paper deals with the study of the localization operators associated with the q-Bessel wavelet transform. First, we develop the notion of two q-Bessel wavelets. Second, motivated by Wong's approach, we present in our setting, the general theory on the Schatten-von Neumann class, including the boundedness and compactness and Schatten class properties. Next, we prove under suitable conditions on the symbols and two q-Bessel wavelets, the boundedness and compactness of these localization operators on L-nu,q(p)(R-q(+)), 1 <= p <= infinity. We culminate our study by formulating typical examples of localization operators.