Site logo

On a family of weighted ¯¯¯ ∂ -integral representations in the unit disc

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

Abstract

For weighted LpLp-classess of C1C1-functions in the unit disc with weight function of the type |w|2γ⋅(1−|w|2ρ)α|w|2γ⋅(1−|w|2ρ)α, we obtain a family of weighted ¯¯¯∂∂¯-integral representations of the type f=P(f)−T(¯¯¯∂f)f=P(f)−T(∂¯f).

Subscribe to TheGufo Newsletter​