Two-weight norm inequalities for fractional integral operators with Aλ,∞ $A_{\lambda,\infty}$ weights
Abstract In this paper, we introduce a new class of weights, the Aλ,∞ $A_{\lambda, \infty}$ weights, which contains the classical A∞ $A_{\infty}$ weights. We prove a mixed Ap,q $A_{p,q}$– Aλ,∞ $A_{\lambda,\infty}$ type estimate for fractional integral operators.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2019-11-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-019-2239-8 |
| Summary: | Abstract In this paper, we introduce a new class of weights, the Aλ,∞ $A_{\lambda, \infty}$ weights, which contains the classical A∞ $A_{\infty}$ weights. We prove a mixed Ap,q $A_{p,q}$– Aλ,∞ $A_{\lambda,\infty}$ type estimate for fractional integral operators. |
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| ISSN: | 1029-242X |