On fractional parabolic BMO and Lip(α) caloric capacities

In the present paper we characterize the removable sets for solutions of the fractional heat equation satisfying some parabolic BMO or Lip(α) normalization conditions. We do this by introducing associated fractional caloric capacities, that we show to be comparable to a certain parabolic Hausdorff c...

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Detalles Bibliográficos
Autores: Hernandez Garcia, Joan|||0000-0002-2207-5981, Mateu Bennassar, Joan|||0000-0001-7616-6865, Prat Baiget, Laura|||0000-0003-1844-5350
Tipo de recurso: artículo
Fecha de publicación:2025
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:324535
Acceso en línea:https://ddd.uab.cat/record/324535
https://dx.doi.org/urn:doi:10.1007/s00209-025-03900-w
Access Level:acceso abierto
Palabra clave:Capacities
Fractional heat equation
Removable singularities
Singular integrals
Descripción
Sumario:In the present paper we characterize the removable sets for solutions of the fractional heat equation satisfying some parabolic BMO or Lip(α) normalization conditions. We do this by introducing associated fractional caloric capacities, that we show to be comparable to a certain parabolic Hausdorff content.