On a family of weighted ¯¯¯ ∂ -integral representations 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).

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).

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

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