On the Orlicz-Sobolev algebra. (Sur l'algèbre d'Orlicz-Sobolev.)
On the orthogonal projections onto spaces of pluriharmonic functions and duality
On the periodic KdV equation in weighted Sobolev spaces
On the pointwise multiplication in Besov and Lizorkin-Triebel spaces.
On the precise asymptotics of the constant in Friedrich's inequality for functions vanishing on the part of the boundary with microinhomogeneous structure.
On the regularity of bilinear maximal operator
We study the regularity properties of bilinear maximal operator. Some new bounds and continuity for the above operators are established on the Sobolev spaces, Triebel-Lizorkin spaces and Besov spaces. In addition, the quasicontinuity and approximate differentiability of the bilinear maximal function are also obtained.
On the regularity of the one-sided Hardy-Littlewood maximal functions
In this paper we study the regularity properties of the one-dimensional one-sided Hardy-Littlewood maximal operators and . More precisely, we prove that and map with , boundedly and continuously. In addition, we show that the discrete versions and map boundedly and map continuously. Specially, we obtain the sharp variation inequalities of and , that is, if , where is the total variation of on and is the set of all functions satisfying .
On the Sobolev class and quasiregularity.
On the Sobolev spaces I.
On the space of Bloch harmonic functions and interpolation of spaces of harmonic and holomorphic functions
On the spectrum of multipliers in Bessel potential spaces
On the Structure of the Spaces ... .
On the theory of Sobolev-type classes of functions with values in a metric space.
On the trace of potentials
On the trace theory for functions in Sobolev spaces with mixed -norm
On the traces of Sobolev functions on the boundary of a cusp with a Hölder singularity.
On the traces of W2,p(Ω) for a Lipschitz domain.
We extend to the case 1 < p the results obtained by Geymonat and Krasucki for p = 2 on the characterization of the traces of W2,p(Ω) for a bounded Lipschitz domain.
On the validity of Friedrichs' inequalities.
On two classes of weighted Sobolev-Slobodetskiĭ spaces in a dihedral angle
On two reverse inequalities in the Segal-Bargmann space.