Sobolev Regularity of Multilinear Fractional Maximal Operators on Infinite Connected Graphs
Let <i>G</i> be an infinite connected graph. We introduce two kinds of multilinear fractional maximal operators on <i>G</i>. By assuming that the graph <i>G</i> satisfies certain geometric conditions, we establish the bounds for the above operators on the endpoint...
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| Autores principales: | , |
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| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
MDPI AG
2021
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/35d4e113c42c4a068e6a75e2741df6b2 |
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| Sumario: | Let <i>G</i> be an infinite connected graph. We introduce two kinds of multilinear fractional maximal operators on <i>G</i>. By assuming that the graph <i>G</i> satisfies certain geometric conditions, we establish the bounds for the above operators on the endpoint Sobolev spaces and Hajłasz–Sobolev spaces on <i>G</i>. |
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