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math.AP2009★ 1 cited
Regularity theory for the fractional harmonic oscillator
P. R. Stinga, J. L. Torrea
In this paper we develop the theory of Schauder estimates for the fractional harmonic oscillator , . More precisely, a new class of smooth functions $C^{k,…
math.AP2009★ 3 cited
Extension problem and Harnack's inequality for some fractional operators
P. R. Stinga, J. L. Torrea
The fractional Laplacian can be obtained as a Dirichlet-to-Neumann map via an extension problem to the upper half space. In this paper we prove the same type of characterization fo…