ON WEIGHTED SOLUTIONS OF ∂-EQUATION IN THE UNIT DISC

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ON WEIGHTED SOLUTIONS OF ∂-EQUATION IN THE UNIT DISC Feliks Hayrapetyan

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).

DOI: 10.46991/PYSU:A/2021.55.1.020 Physical and Mathematical Sciences, 55(1 (254) 20-28

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Keywords

∂-equation, weighted function spaces

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