Potential operators in modified Morrey spaces defined on Carleson curves
In this paper we study the potential operator I Γ α , 0 < 1 in the modified Morrey space L ˜ p , λ ( Γ ) and the spaces B M O ( Γ ) defined on Carleson curves Γ . We prove that for 1 < p < ( 1 − λ ) ∕ α the potential operator I Γ α is bounded from the modified Morrey space L ˜ p , λ ( Γ ) t...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2018-04-01
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| Series: | Transactions of A. Razmadze Mathematical Institute |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2346809217301022 |