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Duals of variable exponent Hörmander spaces ($0< p^- \le p^+ \le 1$) and some applications

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Duals of variable exponent Hörmander spaces ($0< p^- \le p^+ \le 1$) and some applications

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Motos Izquierdo, J.; Planells Gilabert, MJ.; Talavera Usano, CF. (2015). Duals of variable exponent Hörmander spaces ($0< p^- \le p^+ \le 1$) and some applications. Revista- Real Academia de Ciencias Exactas Fisicas Y Naturales Serie a Matematicas. 109(2):657-668. doi:10.1007/s13398-014-0209-z

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Title: Duals of variable exponent Hörmander spaces ($0< p^- \le p^+ \le 1$) and some applications
Author:
UPV Unit: Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros Industriales - Escola Tècnica Superior d'Enginyers Industrials
Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
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Abstract:
In this paper we characterize the dual $\bigl(\B^c_{p(\cdot)} (\Omega) \bigr)'$ of the variable exponent H\"or\-man\-der space $\B^c_{p(\cdot)} (\Omega)$ when the exponent $p(\cdot)$ satisfies the conditions $0 < p^- ...[+]
Subjects: Variable exponent , Hardy-Littlewood maximal operator , Banach envelope , $L_{p(\cdot)}$-spaces of entire analytic functions , H\"ormander spaces
Copyrigths: Reserva de todos los derechos
Source:
Revista- Real Academia de Ciencias Exactas Fisicas Y Naturales Serie a Matematicas. (issn: 1578-7303 ) (eissn: 1579-1505 )
DOI: 10.1007/s13398-014-0209-z
Publisher:
Springer Verlag
Publisher version: http://dx.doi. org/10.1007/s13398-014-0209-z
Thanks:
J. Motos is partially supported by grant MTM2011-23164 from the Spanish Ministry of Science and Innovation. The authors wish to thank the referees for the careful reading of the manuscript and for many helpful suggestions ...[+]
Type: Artículo

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