Parabolic weighted Sobolev-Poincar\'e type inequalities
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math.AP
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parabolicclassinequalitiessobolev-poincartypeweightedbelongingconcerned
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We derive weighted Sobolev-Poincar\'e type inequalities in function spaces concerned with parabolic partial differential equations. We consider general weights depending on both space and time variables belonging to a Muckenhoupt class, so-called the parabolic $A_p$-class, where only the parabolic cubes are involved in the definition.
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