On a new class of operators from the Bloch-type space into H ∞ ( B X ) $H^{\infty}(\mathbb{B}_{X})$ of infinite dimensional bounded symmetric domains
Abstract Under certain assumptions on the symbols, we give a necessary and sufficient condition for the boundedness of a new class of operators, T ψ 1 , ψ 2 , ψ 3 , φ $T_{\psi _{1}, \psi _{2}, \psi _{3}, \varphi}$ , mapping from the Bloch-type space B ( B X ) $\mathcal{B}(\mathbb{B}_{X})$ into the s...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-03-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-025-03286-7 |
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| Summary: | Abstract Under certain assumptions on the symbols, we give a necessary and sufficient condition for the boundedness of a new class of operators, T ψ 1 , ψ 2 , ψ 3 , φ $T_{\psi _{1}, \psi _{2}, \psi _{3}, \varphi}$ , mapping from the Bloch-type space B ( B X ) $\mathcal{B}(\mathbb{B}_{X})$ into the space of bounded holomorphic function H ∞ ( B X ) $H^{\infty}(\mathbb{B}_{X})$ of infinite-dimensional bounded symmetric domains. Moreover, we establish a sufficient condition for the boundedness of the operator T ψ 1 , ψ 2 , ψ 3 , φ : B 0 ( B X ) → H μ , 0 ∞ ( B X ) $T_{\psi _{1}, \psi _{2}, \psi _{3}, \varphi}: \mathcal{B}_{0}(\mathbb{B}_{X})\rightarrow H_{\mu , 0}^{\infty}(\mathbb{B}_{X})$ . |
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| ISSN: | 1029-242X |