ONE-SIDED POTENTIALS IN WEIGHTED CENTRAL MORREY SPACES

The boundedness of one-sided potentials defined, generally speaking, with respect to a Borel measure \(\varvec{\mu }\) $\mathit{\mu }$ in Morrey spaces is established. Appropriate inequalities for power-type weights are derived in Morrey spaces and in complementary Morrey spaces. Similar conclusions are also given for power-type weights in vanishing Morrey spaces.