Abstract
We prove the strong-type and weak-type estimates for the Calderón–Zygmund singular integrals on central Morrey–Orlicz and weak central Morrey–Orlicz spaces defined in our earlier paper [26]. Next part has similar investigations between distinct central Morrey–Orlicz and weak central Morrey–Orlicz spaces. Then we define the $\lambda$-central mean oscillation–Orlicz spaces and its weak version investigating also some estimates for a modified Calderón–Zygmund singular integrals. Also, we show boundedness of a modified Calderón–Zygmund singular integrals from central Morrey–Orlicz spaces to $\lambda$-central mean oscillation–Orlicz spaces, even for different Orlicz functions, and corresponding weak version.
Citation
Lech Maligranda. Katsuo Matsuoka. "Calderón–Zygmund singular integrals in central Morrey–Orlicz spaces." Tohoku Math. J. (2) 72 (2) 235 - 259, 2020. https://doi.org/10.2748/tmj/1593136820
Information