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- W4385065018 abstract "Let μ $$ mu $$ be a finite Borel measure on [ 0,1 ) $$ left[0,1right) $$ . In this paper, we consider the generalized integral type Hilbert operator I μ α + 1 ( f ) ( z ) = ∫ 0 1 f ( t ) ( 1 − t z ) α + 1 d μ ( t ) ( α > − 1 ) . $$ {mathcal{I}}_{mu_{alpha &#x0002B;1}}(f)(z)&#x0003D;{int}_0&#x0005E;1frac{f(t)}{{left(1- tzright)}&#x0005E;{alpha &#x0002B;1}} dmu (t)kern0.30em left(alpha >-1right). $$ The operator I μ 1 $$ {mathcal{I}}_{mu_1} $$ has been extensively studied recently. The aim of this paper is to study the boundedness (resp. compactness) of I μ α + 1 $$ {mathcal{I}}_{mu_{alpha &#x0002B;1}} $$ acting from the normal weight Bloch space into another of the same kind. As consequences of our study, we get completely results for the boundedness of I μ α + 1 $$ {mathcal{I}}_{mu_{alpha &#x0002B;1}} $$ acting between Bloch type spaces, and between logarithmic Bloch spaces." @default.
- W4385065018 created "2023-07-23" @default.
- W4385065018 creator A5014888317 @default.
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- W4385065018 date "2023-07-21" @default.
- W4385065018 modified "2023-09-26" @default.
- W4385065018 title "Generalized integral type Hilbert operator acting between weighted Bloch spaces" @default.
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- W4385065018 doi "https://doi.org/10.1002/mma.9572" @default.
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