On a new embedding theorem and the CLR-type inequality for Euclidean and hyperbolic spaces |
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Authors: | Mohammed El Aï di |
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Affiliation: | Departamento de Matemáticas, Universidad Nacional de Colombia, sede Bogotá, Avenida carrera 30 número 45-03, Edificio 404, Bogotá, D.C., Colombia |
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Abstract: | The goal of this note is to provide a new embedding theorem and to derive from this embedding the CLR-type inequality for a potential belonging to a proper subspace of integrable functions. |
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Keywords: | primary, 34B09, 34L15, 34L25, 34L05, 35J40, 35P15, 35R06, 35R15, 47A75 secondary, 47A07, 47A40, 47A10, 57R40, 58D10 |
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