Orlicz Space Interpolation and Its Applications to Operator Convolution
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866908847352840192 |
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| author | Bauer, Wolfram Fulsche, Robert Toft, Joachim |
| author_facet | Bauer, Wolfram Fulsche, Robert Toft, Joachim |
| contents | We prove a strong-type interpolation result for noncommutative Orlicz spaces over semifinite von Neumann algebras. Based on this result, we obtain Young-type convolution estimates for the Weyl pseudodifferential symbols of operators in appropriate Orlicz-Schatten spaces. Equivalently, we prove convolution estimates of Young type for Werner's function-operator convolutions in quantum harmonic analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_19164 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Orlicz Space Interpolation and Its Applications to Operator Convolution Bauer, Wolfram Fulsche, Robert Toft, Joachim Functional Analysis We prove a strong-type interpolation result for noncommutative Orlicz spaces over semifinite von Neumann algebras. Based on this result, we obtain Young-type convolution estimates for the Weyl pseudodifferential symbols of operators in appropriate Orlicz-Schatten spaces. Equivalently, we prove convolution estimates of Young type for Werner's function-operator convolutions in quantum harmonic analysis. |
| title | Orlicz Space Interpolation and Its Applications to Operator Convolution |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2602.19164 |