On Rellich's Lemma, the Poincaré inequality, and Friedrichs extension of an operator on complex spaces

• Autores: Chia-chi Tung, Pier Domenico Lamberti
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 23, Nº. 2, 2021, págs. 265-285
• Idioma: inglés
• DOI: 10.4067/S0719-06462021000200265
• Enlaces
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• Resumen
  • español

    RESUMEN Este artículo se enfoca principalmente en: (i) una generalización del Lema de Rellich a un subdominio de Riemann de un espacio complejo, (ii) la desigualdad de Poincaré, y (iii) la extensión de Friedrichs de un operador de tipo Schrödinger. Se entregan también aplicaciones al problema de expansión de funciones propias asociado al Laplaciano modificado.

  • English

    ABSTRACT This paper is mainly concerned with: (i) a generalization of the Rellich's Lemma to a Riemann subdomain of a complex space, (ii) the Poincaré inequality, and (iii) Friedrichs extension of a Schrödinger type operator. Applications to the eigenfunction expansion problem associated to the modified Laplacian are also given.

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