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Lp-boundedness and compactness of wavelet multipliers for integral operators

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ABSTRACT The aim of this paper is to prove results on the -boundedness and -compactness of wavelet multipliers associated with a general class of integral operators. As a side result… Click to show full abstract

ABSTRACT The aim of this paper is to prove results on the -boundedness and -compactness of wavelet multipliers associated with a general class of integral operators. As a side result we study their -boundedness and Schatten class properties. These results can be applied to a wide class of transformations including those of homogenous kernel as the Fourier transform, the deformed Fourier transform, and those of non-homogeneous kernel as the Jacobi transform and the short time Fourier transform.

Keywords: wavelet multipliers; compactness wavelet; integral operators; fourier transform; boundedness compactness

Journal Title: Integral Transforms and Special Functions
Year Published: 2019

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