Parabolic Muckenhoupt weights in the Euclidean space |
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Authors: | Lauri Berkovits |
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Institution: | Department of Mathematics, FI-90014 University of Oulu, Finland |
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Abstract: | We introduce a parabolic analogue of Muckenhoupt?s Ap class. We show that these weights satisfy a reverse Hölder type inequality and also prove a John-Nirenberg inequality for a related BMO type class. Both results are multidimensional generalizations of known one-dimensional results. As an application of our methods, we extend a two-dimensional weighted norm inequality of A. Lerner and S. Ombrosi to dimensions n?3. |
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Keywords: | Maximal functions Weighted norm inequalities Reverse Hö lder inequalities |
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