It is not only beneficial to the fractional order

partial differential operator in the practical application of promotion, but also can further improve the fractional

partial differential operator to the ability of noise and it has laid a good foundation for the subsequent image processing.

The complex Monge-Ampere operator is a fully nonlinear

partial differential operator denoted by

where L is a linear

partial differential operator, N is a nonlinear analytic operator, and h Eqs.

1 below) that for K with the extension property every linear partial differential operator P(D) with constant coefficients on [epsilon](K) has a continuous linear right inverse.

n]] a polynomial of degree N, we consider the partial differential operator P(D) : [epsilon]([R.

A linear

partial differential operator in 2n +1 independent variables z,[x.

j] = 0 for j > n, and L is the linear

partial differential operator of the form

Zhao, "The Drazin inverse for singular evolution equations and

partial differential operators," World Scientific Series in Applicable Analysis, vol.

Orders of integration are rearranged in (15) owing to the commutativity in pairs of the

partial differential operators.

We also study spaces of

partial differential operators with periodic coefficients that are relevant for [T.

We provide a generalization of Calderon's reproducing formula associated with

partial differential operators on the half-plane involving finite Borel measures.