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The monograph gives a detailed exposition of the theory of general elliptic operators (scalar
and matrix) and elliptic boundary value problems in Hilbert scales of Hörmander function …

The paper gives a detailed survey of recent results on elliptic problems in Hilbert spaces of
generalized smoothness. The latter are the isotropic Hörmander spaces $ H^{s,\varphi}:= B …

We compare Besov spaces B p, q 0, b with zero classical smoothness and logarithmic
smoothness b defined by using the Fourier transform with the corresponding spaces B p, q …

We work with Besov spaces B p, q 0, b defined by means of differences, with zero classical
smoothness and logarithmic smoothness with exponent b. We characterize B p, q 0, b by …

In this paper we present a comprehensive treatment of function spaces with logarithmic
smoothness (Besov, Sobolev, Triebel-Lizorkin). We establish the following results: Sharp …

Some recent developments in the theory of function spaces involving differences Page 1 Some
recent developments in the theory of function spaces involving differences Dorothee D …

arXiv:0712.1135v1 [math.AP] 7 Dec 2007 Page 1 arXiv:0712.1135v1 [math.AP] 7 Dec 2007
СЦЬ ЪШЧФ ЬСЧЦ ЯСЬР ЭЦ ЬСЧЦ Ш Ъ Х Ь Ъ Ц Ъ СЦ Ы Ф Ч ЫШ Ы ЮФ СХСЪ К ХСУР СФ …

In this paper we give a thorough study of Lipschitz spaces. We obtain the following new
results:(i) Sharp Jawerth-Franke-type embeddings between the Besov and Lipschitz spaces …

We study a regular elliptic boundary-value problem in a bounded domain with smooth
boundary. We prove that the operator of this problem is a Fredholm one in a two-sided …