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

Author(s)

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

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).

DOI: 10.52737/18291163-2020.12.11-1-16 Armenian Journal of Mathematics, 12(11) 1-16

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Keywords

Smooth Functions in the Unit Disc, Weighted Function Spaces, Weighted ¯¯¯ ∂ -Integral Representations

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