Weighted Norm Inequalities for a Maximal Operator in Some Subspace of Amalgams

作者：Feuto Justin^*; Fofana Ibrahim; Koua Konin

来源：Canadian Mathematical Bulletin, 2010, 53(2): 263-277.

DOI：10.4153/CMB-2010-015-x

• fractional maximal operator
• fractional integral
• space of homogeneous type

We give weighted norm inequalities for the maximal fractional operator M(q,beta) of Hardy Littlewood and the fractional integral I(gamma). These inequalities are established between (L(q), L(P))(alpha)(X, d, mu) spaces (which are superspaces of Lebesgue spaces L(alpha)(X, d, mu) and subspaces of amalgams (L(q), L(P))(X, d, mu)) and in the setting of space of homogeneous type (X, d, mu). The conditions on the weights are stated in terms of Orlicz norm.

• 出版日期2010-6