Abstract
In this paper, we investigate Poison kernel associated with Kontorovich–Lebedev transform. We significantly simplify the integral yielding a tractable form which is more useful for explicit calculation. We establish also that Kontorovich–Lebedev multipliers of Laplace transform type are bounded from [Formula: see text] into it self when [Formula: see text] and from [Formula: see text] into [Formula: see text] provided that [Formula: see text] is in the Muckenhoupt class [Formula: see text] on [Formula: see text]. At the end, an integral representation of the operator [Formula: see text] is obtained and its boundedness has been discussed in Lebesgue space.
Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
