Hans-Gerd Leopold

Entropy Numbers of Embeddings of Weighted Besov Spaces

AbstractWe investigate the asymptotic behavior of the entropy numbers of the compact embedding

Entropy numbers of Sobolev embeddings of radial Besov spaces

B^{s_1}_{p_1,q_1} \!\!(\mbox{\footnotesize\bf R}^d, \alpha) \hookrightarrow B^{s_2}_{p_2,q_2} \!\!({\xxR}).

Spectral invariance for pseudodifferential operators on weighted function spaces

Here

Invariance of the _{} spectrum for hypoelliptic operators

B^s_{p,q} \!({\mbox{\footnotesize\bf R}^d}, \alpha)

Characterisations of function spaces of generalised smoothness

denotes a weighted Besov space, where the weight is given by

Pseudo differential operators with variable order of differentiation generating feller semigroups

w_\alpha (x) = (1+| x |^2)^{\alpha/2}

Entropy numbers of embeddings of weighted Besov spaces III. Weights of logarithmic type

, and

Local Growth Envelopes of Triebel-Lizorkin Spaces of Generalized Smoothness

B^{s_2}_{p_2,q_2} \!({\mbox{\footnotesize\bf R}^d})