학술저널
ON THE CONTINUITY OF THE HARDY-LITTLEWOOD MAXIMAL FUNCTION
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 31, No. 1
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2018.0243 - 46 (4 pages)
- 6
It is concerned with the continuity of the Hardy-Little wood maximal function between the classical Lebesgue spaces or the Orlicz spaces. A new approach to the continuity of the Hardy-Littlewood maximal function is presented through the observation that the continuity is closely related to the existence of solutions for a certain type of first order ordinary differential equations. It is applied to verify the continuity of the Hardy-Littlewood maximal function from L p (R n ) to L q (R n ) for 1 ≤ q < p < ∞.
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