Extrapolation on function and modular spaces, and applications
Mingming Cao, Juan Marín, José María Martell
Abstract
We generalize the extrapolation theory of Rubio de Francia to the context of Banach function spaces and modular spaces. Our results are formulated in terms of some natural weighted estimates for the Hardy-Littlewood maximal function and are stated in measure spaces and for general Muckenhoupt bases. Finally, we give several applications in analysis and partial differential equations.
Topics & Concepts
MathematicsExtrapolationContext (archaeology)Function spaceFunction (biology)Measure (data warehouse)Pure mathematicsModular designBanach spaceHardy spacePartial differential equationMathematical analysisAlgebra over a fieldApplied mathematicsBiologyComputer scienceDatabaseEvolutionary biologyPaleontologyOperating systemAdvanced Harmonic Analysis ResearchMathematical Analysis and Transform MethodsAdvanced Mathematical Physics Problems