Instytut Matematyczny Polskiej Akademii Nauk / pl / Wydawnictwa / Banach Center Publications / Wszystkie tomy

Streszczenie

We introduce the generalized fractional integrals ${\tilde{I}}_{\alpha,d}$ and prove the strong and weak boundedness of ${\tilde{I}}_{\alpha,d}$ on the central Morrey spaces $B^{p,\lambda}(\mathbb R^n)$. In order to show the boundedness, the generalized $\lambda$-central mean oscillation spaces $\Lambda^{(d)}_{p,\lambda}(\mathbb R^n)$ and the generalized weak $\lambda$-central mean oscillation spaces $W\Lambda^{(d)}_{p,\lambda}(\mathbb R^n)$ play an important role.