Título: | On the Relationship Between Two Kinds of Besov Spaces with Smoothness Near Zero and Some Other Applications of Limiting Interpolation |
Autores: | Cobos, Fernando ; Domínguez, Oscar |
Tipo de documento: | texto impreso |
Editorial: | Birkhäuser, 2015 |
Dimensiones: | application/pdf |
Nota general: | info:eu-repo/semantics/restrictedAccess |
Idiomas: | |
Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Análisis funcional y teoría de operadores , Tipo = Artículo |
Resumen: | Using limiting interpolation techniques we study the elationship between Besov spaces B0,?1/q p,q with zero classical smoothness and logarithmic smoothness ?1/q defined by means of differences with similar spaces 0,b,d p,q defined by means of the Fourier transform. Among other things, we prove that B0,?1/2 2,2 = B0,0,1/2 2,2 . We also derive several results on periodic spaces B0,?1/q p,q (T), including embeddings in generalized Lorentz–Zygmund spaces and the distribution of Fourier coefficients of functions of B0,?1/q p,q (T). |
En línea: | https://eprints.ucm.es/35141/1/Cobos103.pdf |
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