Weighted Morrey spaces of variable exponent and Riesz potentials

作者：Mizuta Yoshihiro; Shimomura Tetsu^*

来源：Mathematische Nachrichten, 2015, 288(8-9): 984-1002.

DOI：10.1002/mana.201400032

• Maximal function
• Riesz potentials
• Sobolev's inequality
• Trudinger's inequality
• Morrey spaces of variable exponent
• weights
• 31B15
• 46E30

We prove weighted inequalities for the Hardy-Littlewood maximal operator on weighted Morrey spaces Lp(),(Rn;) of variable exponent. As an application of the boundedness of the maximal operator, we establish weighted Sobolev's inequality for Riesz potentials. We are also concerned with weighted Trudinger's inequality for Riesz potentials.

• 出版日期2015-6