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- W2165169461 abstract "The purpose of this work is to show that the fractional maximal operator has somewhat unexpected regularity properties. The main result shows that the fractional maximal operator maps Lp-spaces boundedly into certain first-order Sobolev spaces. It is also proved that the fractional maximal operator preserves first-order Sobolev spaces. This extends known results for the Hardy-Littlewood maximal operator. 2000 Mathematics Subject Classification 42B25, 46E35." @default.
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- W2165169461 date "2003-06-09" @default.
- W2165169461 modified "2023-10-15" @default.
- W2165169461 title "REGULARITY OF THE FRACTIONAL MAXIMAL FUNCTION" @default.
- W2165169461 doi "https://doi.org/10.1112/s0024609303002017" @default.
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