Construction of maximal functions associated with skewed cylinders generated by incompressible flows and applications
نویسندگان
چکیده
We construct a maximal function associated with family of skewed cylinders. These cylinders, which are defined as tubular neighborhoods trajectories mollified flow, appear in the study fluid equations such Navier-Stokes and Euler equations. define subordinate to these show it is weak type $(1, 1)$ strong $(p, p)$ by covering lemma. As an application, we give alternative proof for higher derivatives estimate smooth solutions three-dimensional
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
سال: 2022
ISSN: ['0294-1449', '1873-1430']
DOI: https://doi.org/10.4171/aihpc/20