On the $L^p$-to-$L^q$ boundedness and compactness of commutators along monomial curves

Tuomas Oikari

For exponents $p,q\in (1,\infty ),$ we study the $L^p$-to-$L^q$ boundedness and compactness of the commutator $[b,H_{\gamma }]=b{H}_{\gamma }-H_{\gamma }b,$ where $H_{\gamma }$ is the Hilbert transform along the…