Boundedness of a class of rough maximal functions

In this work, we obtain appropriate sharp bounds for a certain class of maximal operators along surfaces of revolution with kernels in [Formula: see text] , [Formula: see text] . By using these bounds and using an extrapolation argument, we establish the [Formula: see text] boundedness of the maxima...

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Detalles Bibliográficos
Autores principales: Ali, Mohammed, Al-mohammed, Omar
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6244725/
https://www.ncbi.nlm.nih.gov/pubmed/30839785
http://dx.doi.org/10.1186/s13660-018-1900-y
Descripción
Sumario:In this work, we obtain appropriate sharp bounds for a certain class of maximal operators along surfaces of revolution with kernels in [Formula: see text] , [Formula: see text] . By using these bounds and using an extrapolation argument, we establish the [Formula: see text] boundedness of the maximal operators when their kernels are in [Formula: see text] or in the block space [Formula: see text] . Our main results represent significant improvements as well as natural extensions of what was known previously.

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