ON WEIGHTED SOLUTIONS OF ∂-EQUATION IN THE UNIT DISC

Feliks Hayrapetyan

Received N/A; revised N/A; accepted N/A

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

n the paper an equation∂g(z)/∂z=v(z)is considered in the unit discD.ForCk-functionsv(k=1,2,3,...,∞)from weightedLp-classes(1≤p<∞)with weight functions of the type|z|2γ(1−|z|2ρ)α,z∈D, a familygβof solutionsis constructed (βis a complex parameter).

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