The Group {At}


  • Alejandro Ortiz Fernández Pontificia Universidad Católica del Perú, Sección Matemáticas. Perú



Singular Integrals, Kernel, Homogeneity, Infinitesimal operator, Calderón-Zygmund


In this note we give the motivation and some details about the group {At}, which appears in the generalization of the classical Calder´on-Zygmund’s theory on singular integrals.


Calderón, A.P. Integrales Singulares y sus Aplicaciones a Ecuaciones Diferenciales Hiperbólicas. Univ. de Buenos Aires. 1960.

Calderón, A.P. Torchinsky, A. Parabolic Maximal Functions Associated with a Distribution. Adv. in Math. I. 1975. Adv. in Math. II. 1977.

Fabes, E.B.; Riviere, N.M. Singular Integrals with Mixed Homogeneity. Studia Math. 19-38- 1966.

De Guzmán, M. Singular Integral Operators with Generalized Homogeneity. Rev. Acad. C. Madrid. 1970.

Ortiz, A. Operadores Integrales Singulares. Dpto. Matemática. UNT. Trujillo, Perú, 1972.

Riviere, N. Singular Integrals and Multiplier Operators. Ark. Mat. 9. 1971.

Torchinsky, A. Singular Integrals in the spaces (B;X). Studia Math. 47. 1973.



How to Cite

Ortiz Fernández, A. (2018). The Group {At}. Selecciones Matemáticas, 5(01), 27 - 33.

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