Singular integrals of the compositions of Laplace- Beltrami and Green’s operators
نویسندگان
چکیده
* Correspondence: [email protected]. cn Department of Mathematics, Harbin Institute of Technology Harbin 150001, P.R.China Full list of author information is available at the end of the article Abstract We establish the Poincaré-type inequalities for the composition of the LaplaceBeltrami operator and the Green’s operator applied to the solutions of the nonhomogeneous A-harmonic equation in the John domain. We also obtain some estimates for the integrals of the composite operator with a singular density.
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