Hardy inequalities for fractional $(k,a)$-generalized harmonic oscillator

Wentao Teng

In this paper, we will define $a$-deformed Laguerre operators $L_{a,\alpha }$ and $a$-deformed Laguerre holomorphic semigroups on $L^2\left(\left(0,\infty \right),d{\mu }_{a,\alpha }\right)$. Then w…