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math.CA2023
bound on the strong spherical maximal function
Juyoung Lee, Sanghyuk Lee, Sewook Oh
In this note we show that the strong spherical maximal function in is bounded on if for .
math.CA2023
The elliptic maximal function
Juyoung Lee, Sanghyuk Lee, Sewook Oh
We study the elliptic maximal functions defined by averages over ellipses and rotated ellipses which are multi-parametric variants of the circular maximal function. We prove that t…