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

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...

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Autores principales:	Tung,Chia-chi, Lamberti,Pier Domenico
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2021
Materias:	Weighted Sobolev-Schrödinger product Friedrichs extension resolvent mapping
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462021000200265
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spelling	oai:scielo:S0719-064620210002002652021-08-18On Rellich's Lemma, the Poincaré inequality, and Friedrichs extension of an operator on complex spacesTung,Chia-chiLamberti,Pier Domenico Weighted Sobolev-Schrödinger product Friedrichs extension resolvent mapping 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.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.23 n.2 20212021-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462021000200265en10.4067/S0719-06462021000200265
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Weighted Sobolev-Schrödinger product Friedrichs extension resolvent mapping
spellingShingle	Weighted Sobolev-Schrödinger product Friedrichs extension resolvent mapping Tung,Chia-chi Lamberti,Pier Domenico On Rellich's Lemma, the Poincaré inequality, and Friedrichs extension of an operator on complex spaces
description	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.
author	Tung,Chia-chi Lamberti,Pier Domenico
author_facet	Tung,Chia-chi Lamberti,Pier Domenico
author_sort	Tung,Chia-chi
title	On Rellich's Lemma, the Poincaré inequality, and Friedrichs extension of an operator on complex spaces
title_short	On Rellich's Lemma, the Poincaré inequality, and Friedrichs extension of an operator on complex spaces
title_full	On Rellich's Lemma, the Poincaré inequality, and Friedrichs extension of an operator on complex spaces
title_fullStr	On Rellich's Lemma, the Poincaré inequality, and Friedrichs extension of an operator on complex spaces
title_full_unstemmed	On Rellich's Lemma, the Poincaré inequality, and Friedrichs extension of an operator on complex spaces
title_sort	on rellich's lemma, the poincaré inequality, and friedrichs extension of an operator on complex spaces
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2021
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462021000200265
work_keys_str_mv	AT tungchiachi onrellichslemmathepoincareinequalityandfriedrichsextensionofanoperatoroncomplexspaces AT lambertipierdomenico onrellichslemmathepoincareinequalityandfriedrichsextensionofanoperatoroncomplexspaces
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On Rellich's Lemma, the Poincaré inequality, and Friedrichs extension of an operator on complex spaces

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