Generalized multiple Perron integrals and the Green-Goursat theorem for differentiable vector fields
Generating functions for the mean value of a function on a sphere and its associated ball in .
Green's theorem from the viewpoint of applications
Making use of a line integral defined without use of the partition of unity, Green’s theorem is proved in the case of two-dimensional domains with a Lipschitz-continuous boundary for functions belonging to the Sobolev spaces