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Higher order logarithms of Bessel operators and an extension problem
Jorge J. Betancor, Estefanía. Dalmasso, Juan C. Fariña +1
We consider the Bessel operator defined by \[ B_λ=-\frac{d^2}{dx^2}+\frac{λ^2-1/4}{x^2}, \] on , with . We study the fractional power , , $s\n…
A criterion for Schrödinger-Calderón-Zygmund operators with exponential decay
Estefanía Dalmasso, Gabriela R. Lezama, Marisa Toschi
We establish the boundedness of exponential Schrödinger-Calderón-Zygmund operators on weighted spaces via a criterion, where the weights belong to classes that ca…
On -order logarithmic Schrödinger operator
Jorge J. Betancor, Estefanía Dalmasso, Pablo Quijano +1
In this paper we study the logarithm of order of the Schrödinger operator in , for certain nonnegative potentials . First, the operator $\log^m\m…
Logarithmic Schrödinger operators
Jorge J. Betancor, Estefanía Dalmasso, Juan C. Fariña +1
In this paper we consider the Schrödinger operator in with a non negative potential , and . We define the logarithmic Schrödin…
Variational inequalities associated with the semigroups generated by fractional Kolmogorov operators
Jorge J. Betancor, Estefanía Dalmasso, Pablo Quijano
In this paper we consider fractional Kolmogorov operators defined, in , by \[Λ_κ=(-Δ)^{α/2}+\fracκ{|x|^α} x\cdot \nabla,\] with , and $κ\in \m…
Weighted estimates for Schrödinger-Calderón-Zygmund operators with exponential decay
Estefanía Dalmasso, Gabriela R. Lezama, Marisa Toschi
In this work we obtain weighted boundedness results for singular integral operators with kernels exhibiting exponential decay. We also show that the classes of weights are characte…