Gelfand-Shilov Boundedness of Continuous Wavelet Transform Related to a New Class of Fractional Hankel-like Transform

This article focuses about the continuity of a new class of fractional Hankel-like transform on the newly constructed Gelfand-Shilov spaces of type W,  and S. Moreover, we give a characterization of a new class of fractional Hankel-like transform on certain ultradifferentiable function spaces. This article made further discussion, on the boundedness properties of continuous wavelet transform related to above mentioned fractional Hankel-like transform on suitably designed spaces of type W,  and S. Furthermore, we derived the boundedness result of continuous wavelet transform on appropriately constructed ultradifferentiable function spaces. At last as an application we solved Dirichlet problem.