A Calderón theorem for the poisson semigroups associated with the Ornstein–Uhlenbeck and Hermite operators
Author:
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s00208-022-02399-4.pdf
Reference11 articles.
1. Calderón, A.P.: On the behaviour of harmonic functions at the boundary. Trans. Am. Math. Soc. 68(1), 47–54 (1950). https://doi.org/10.2307/1990537
2. Carleson, L.: On the existence of boundary values for harmonic functions in several variables. Ark. Mat. 4(5), 393–399 (1962). https://doi.org/10.1007/BF02591620
3. Chipot, M.: Elliptic equations: an introductory course. Birkhäuser Basel (2009). https://doi.org/10.1007/978-3-7643-9982-5
4. Forzani, L., Urbina, W.: Poisson–Hermite representation of solutions of the equation $$ \frac{ \partial ^2 }{ \partial t^2 } u(x,t) + \Delta _x u(x,t) -2x \cdot \nabla _x u(x,t) = 0 $$ . In: Lassonde M. (eds) Approximation, Optimization and Mathematical Economics. Physica, Heidelberg, pp. 109-115. (2001). https://doi.org/10.1007/978-3-642-57592-1_9
5. Garrigós, G., Hartzstein, S., Signes, T., Torrea, J.L., Viviani, B.: Pointwise convergence to initial data of heat and Laplace equations. Trans. Am. Math. Soc. 368, 6575–6600 (2016). https://doi.org/10.1090/tran/6554
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