Title of article :
A Characterization of Concave Weighted Translation Operators
Author/Authors :
tabatabaie, mohammad university of qom - department of mathematics, ايران , mohammadi, ali university of qom - department of mathematics, ايران
Abstract :
We give some necessary and sufficient conditions for weighted translation operators T a,w : Lϕ (K) → L² ϕ (K) to be concave, where K is a locally compact hypergroup. For an element a in the center of K, we show that T a,w : L² (K) →L² (K) is concave if and only if Ta,w is an isometry
Keywords :
Concave operator , Lp–space , Locally compact group , Locally compact hypergroup
Journal title :
General Mathematics Notes
Journal title :
General Mathematics Notes