Natural Science, Mathematics, 2025
On a family of weighted ¯¯¯ ∂ -integral representations in the unit disc
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Submitted: 2024-12-09; Published: 2024-12-09
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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).