A NOTE ON ONE-SIDED MAXIMAL OPERATOR IN Lp(R)

作者：Nekvinda Ales^*

来源：Mathematical Inequalities & Applications, 2010, 13(4): 887-897.

• One-sided maximal operator
• Banach function space
• Lebesgue spaces
• variable exponent

Consider one-sided Hardy-Littlewood maximal operator on the general Lebesgue space with variable exponent. It is known a local sufficient condition to the function p(.) for the boundedness of the one-sided maximal operator on L(p(.))(R) provided p(.) is a constant function in a neighborhood of infinity. Our main aim is to find a weaker condition to p(.) at infinity to guarantee the boundedness of the one-sided maximal operator on L(p(.))(R). We will show two different sufficient conditions to the behavior of p(.) at infinity under which the one-sided maximal operator is bounded on L(p(.))(R).

• 出版日期2010-10