ON HIGH DIMENSIONAL MAXIMAL OPERATORS

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ALDAZ J.M.; PEREZ LAZARO J.

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Journal Paper

Paper Information

Journal: BANACH JOURNAL OF MATHEMATICAL ANALYSIS Year:2013 | Volume:7 | Issue:2 Page(s): 225-243

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Information Journal Paper

Title

ON HIGH DIMENSIONAL MAXIMAL OPERATORS

Author(s)

ALDAZ J.M. | PEREZ LAZARO J. | Issue Writer Certificate

Keywords

MAXIMAL OPERATORS

WEAK TYPE BOUNDS

RADIAL MEASURES

Abstract

In this note we describe some recent advances in the area of maximal function inequalities. We also study the behaviour of the centered Hardy- Littlewood maximal operator associated to certain families of doubling, radial decreasing measures, and acting on radial functions. In fact, we precisely determine when the weak type (1, 1) bounds are uniform in the dimension.

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APA: Copy

ALDAZ, J.M., & PEREZ LAZARO, J.. (2013). ON HIGH DIMENSIONAL MAXIMAL OPERATORS. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 7(2), 225-243. SID. https://sid.ir/paper/317014/en

Vancouver: Copy

ALDAZ J.M., PEREZ LAZARO J.. ON HIGH DIMENSIONAL MAXIMAL OPERATORS. BANACH JOURNAL OF MATHEMATICAL ANALYSIS[Internet]. 2013;7(2):225-243. Available from: https://sid.ir/paper/317014/en

IEEE: Copy

J.M. ALDAZ, and J. PEREZ LAZARO, “ON HIGH DIMENSIONAL MAXIMAL OPERATORS,” BANACH JOURNAL OF MATHEMATICAL ANALYSIS, vol. 7, no. 2, pp. 225–243, 2013, [Online]. Available: https://sid.ir/paper/317014/en

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