### Impacto

### Downloads

Downloads per month over past year

Cobos, Fernando and Domínguez, Oscar
(2015)
*On the Relationship Between Two Kinds of Besov Spaces with Smoothness Near Zero and Some Other Applications of Limiting Interpolation.*
Journal of Fourier Analysis and Applications
.
pp. 1-18.
ISSN 10695869

PDF
Restringido a Repository staff only 665kB |

## Abstract

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).

Item Type: | Article |
---|---|

Uncontrolled Keywords: | Besov spaces; Logarithmic smoothness; Limiting interpolation spaces; Fourier coefficients; Lorentz–Zygmund spaces |

Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |

ID Code: | 35141 |

Deposited On: | 01 Feb 2016 08:15 |

Last Modified: | 01 Feb 2016 10:01 |

### Origin of downloads

Repository Staff Only: item control page