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On the Continuity and Compactness of Pseudodifferential Operators on Localizable Hardy Spaces
Potential Analysis ( IF 1.0 ) Pub Date : 2020-07-26 , DOI: 10.1007/s11118-020-09866-0
G. Hoepfner , R. Kapp , T. Picon

In this paper we establish Sobolev type compact embedding theorems for Hörmander classes of pseudodifferential operators \(OpS^{-\alpha }_{1,\delta }\) on localizable Hardy space. Our work include new optimal boundedness results. As application, we obtain compact embeddings for compactly supported distributions with respect to the space variables in the nonhomogeneous localizable Hardy-Sobolev spaces.



中文翻译:

局部Hardy空间上伪微分算子的连续性和紧性。

在本文中,我们为局部Hardy空间上的伪差分算子\(OpS ^ {-\ alpha} _ {1,\ delta} \)的Hörmander类建立了Sobolev型紧嵌入定理。我们的工作包括新的最佳有界结果。作为应用,我们获得了关于非均匀可局部Hardy-Sobolev空间中空间变量的紧凑支持分布的紧凑嵌入。

更新日期:2020-07-26
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