Parseval-Type Relations and $$L^p$$Lp-Inequalities for the Operators with Complex Gaussian Kernels
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DOI: 10.1007/s11785-016-0612-x
Abstract: In this paper we study new $$L^p$$Lp–boundedness properties for the integral transform with complex Gaussian kernel over $$L^p ({\mathbb {R}},(1+x^2)^{\alpha } dx)$$Lp(R,(1+x2)αdx), $$1\le p \le \infty $$1≤p≤∞, $$\alpha \in {\mathbb {R}}$$α∈R. We also obtain Parseval-type… read more here.
Keywords: operators complex; type relations; parseval type; inequalities operators ... See more keywords