On two weighted problems for commutators of classical operators with optimal behaviour on the parameters involved and extrapolation results
Gladis Pradolini,
Wilfredo Ramos,
Jorgelina Recchi
Abstract:We give two-weighted norm estimates for higher order commutator of classical operators such as singular integral and fractional type operators, between weighted L p and certain spaces that include Lipschitz, BMO and Morrey spaces. We also give the optimal parameters involved with these results, where the optimality is understood in the sense that the parameters defining the corresponding spaces belong to certain region out of which the classes of weights are satisfied by trivial weights. We also exhibit pairs … Show more
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