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Pointwise convergence of fractional powers of Hermite type operators
Guillermo Flores, Gustavo Garrigos, Teresa Signes +1
When is the Hermite or the Ornstein-Uhlenbeck operator, we find minimal integrability and smoothness conditions on a function so that the fractional power is we…
A.e. convergence and 2-weight inequalities for Poisson-Laguerre semigroups
Gustavo Garrigos, Silvia Hartzstein, Teresa Signes +1
We find optimal decay estimates for the Poisson kernels associated with various Laguerre-type operators L. From these, we solve two problems about the Poisson semigroup $e^{-t\sqrt…
Interior Lp-estimates for elliptic and parabolic Schrödinger type operators and local Ap-weights
Isolda Cardoso, Pablo Viola, Beatriz Viviani
Let Omega be a non-empty open proper and connected subset of R^n. Consider p elliptic Schrödinger type operator L_{E}u=A_{E}u+V in Omega, and the linear parabolic operator L_{P}u=A…