Abstract
This paper deals with the study of the localization operators associated with the [Formula: see text]-Bessel wavelet transform. First, we develop the notion of two [Formula: see text]-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 [Formula: see text]-Bessel wavelets, the boundedness and compactness of these localization operators on [Formula: see text], [Formula: see text]. We culminate our study by formulating typical examples of localization operators.
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