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Some non-standard biparametric Poincaré type inequalities through harmonic analysis
María Eugenia Cejas, Carolina Mosquera, Carlos Pérez +1
We show some non-standard Poincaré type estimates in the biparametric setting with appropriate weights. We will derive these results using variants from classical estimates exploit…
Self-improving Poincaré-Sobolev type functionals in product spaces
Maria Eugenia Cejas, Carolina Mosquera, Carlos Pérez +1
In this paper we give a geometric condition which ensures that -Poincaré-Sobolev inequalities are implied from generalized -Poincaré inequalities related to nor…
Improved fractional Poincaré type inequalities on John domains
María Eugenia Cejas, Irene Drelichman, Javier C. Martínez-Perales
We obtain improved fractional Poincaré inequalities in John domains of a metric space endowed with a doubling measure under some mild regularity conditions on the meas…
Vector-valued operators, optimal weighted estimates and the condition
Maria Eugenia Cejas, Kangwei Li, Carlos Perez +1
Sharp weighted estimates are obtained for vector-valued extensions of the Hardy-Littlewood maximal operator, Calderón-Zygmund operators and Coifman-Rochberg-Weiss commutator. Those…