RT Journal Article T1 On the Relationship Between Two Kinds of Besov Spaces with Smoothness Near Zero and Some Other Applications of Limiting Interpolation A1 Cobos Díaz, Fernando A1 Domínguez Bonilla, Óscar AB 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). PB Birkhauser SN 10695869 YR 2015 FD 2015 LK https://hdl.handle.net/20.500.14352/35027 UL https://hdl.handle.net/20.500.14352/35027 LA eng NO Ministerio de Economía, Comercio y Empresa (España) NO Universidad Complutense de Madrid DS Docta Complutense RD 6 abr 2025