2017
Том 69
№ 6

All Issues

Estimation of the uniform norm of one-dimensional Riesz potential of a partial derivative of a function with bounded Laplacian

Babenko V. F., Parfinovych N. V.


Abstract

We obtain new exact Landau-type estimates for the uniform norms of one-dimension Riesz potentials of the partial derivatives of a multivariable function in terms of the norm of the function itself and the norm of its Laplacian.

Citation Example: Babenko V. F., Parfinovych N. V. Estimation of the uniform norm of one-dimensional Riesz potential of a partial derivative of a function with bounded Laplacian // Ukr. Mat. Zh. - 2016. - 68, № 7. - pp. 867-878.