In this article the authors present a systematic study of several new -boundedness properties and Parseval-type relations concerning the operators with complex Gaussian kernels over the spaces and , , . Relevant connections with various earlier related results are also pointed out.
"New -inequalities for hyperbolic weights concerning the operators with complex Gaussian kernels." Banach J. Math. Anal. 12 (2) 399 - 421, April 2018. https://doi.org/10.1215/17358787-2017-0025