Carlos Perez (Universidad de Sevilla)
Self-improving properties of generalized Poincaré type inequalities
through rearrangements
Abstract.
In this talk we will discuss a recent joint work with Andrei
Lerner. We prove, within the context of spaces of homogeneous
type, L^p and exponential type self-improving properties for
measurable functions satisfying a very weak form of the Poincare
type. In particular we obtain an improvement of some known recent
results. Our method is based on rearrangements and avoids
completely the ``good-\lambda'' inequality technique and any
kind of representation formulae.
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