Tb theorems for Triebel-Lizorkin spaces over special spaces of homogeneous type and their applications
Teoremi di esistenza e unicità in elastostatica finita
The 3D navier-stokes equations seen as a perturbation of the 2D navier-stokes equations
The approximation property of some vector valued Sobolev-Slobodeckij spaces.
The Asymptotics of the Heat Equation for a Boundary Value Problem.
The Banach Envelopes of Besov and Triebel-Lizorkin Spaces and Applications to Partial Differential Equations.
The behaviour of the eigenvalues for a class of operators related to some self-affine fractals in .
The Bergman projection on harmonic functions
The best constant in weighted Poincaré and Friedrichs inequalities
The best constant of Sobolev inequality corresponding to clamped boundary value problem.
The block decomposition of the weighted Besov spaces
The Bohr-Pál theorem and the Sobolev space
The well-known Bohr-Pál theorem asserts that for every continuous real-valued function f on the circle there exists a change of variable, i.e., a homeomorphism h of onto itself, such that the Fourier series of the superposition f ∘ h converges uniformly. Subsequent improvements of this result imply that actually there exists a homeomorphism that brings f into the Sobolev space . This refined version of the Bohr-Pál theorem does not extend to complex-valued functions. We show that if α < 1/2,...
The C*-Algebra of a Singular Elliptic Problem on a Noncompact Riemannian Manifold.
The Campanato, Morrey and Hölder spaces on spaces of homogeneous type
We investigate the relations between the Campanato, Morrey and Hölder spaces on spaces of homogeneous type and extend the results of Campanato, Mayers, and Macías and Segovia. The results are new even for the ℝⁿ case. Let (X,d,μ) be a space of homogeneous type and (X,δ,μ) its normalized space in the sense of Macías and Segovia. We also study the relations of these function spaces for (X,d,μ) and for (X,δ,μ). Using these relations, we can show that theorems for the Campanato, Morrey or Hölder spaces...
The Cauchy problem for Shilov-parabolic equations.
The characterization of radial subspaces of Besov and Lizorkin-Triebel spaces by differences
We continue our earlier investigations of radial subspaces of Besov and Lizorkin-Triebel spaces on . This time we study characterizations of these subspaces by differences.
The Characterization of the Triebel-Lizorkin Spaces for p = ...
The coercitivity of elliptic sesquilinear forms on the Sobolev spaces [Abstract of thesis]
The concentration-compactness principle in the calculus of variations. The locally compact case, part 2
The concentration-compactness principle in the calculus of variations. The limit case, Part II.
This paper is the second part of a work devoted to the study of variational problems (with constraints) in functional spaces defined on domains presenting some (local) form of invariance by a non-compact group of transformations like the dilations in RN. This contains for example the class of problems associated with the determination of extremal functions in inequalities like Sobolev inequalities, convolution or trace inequalities... We show how the concentration-compactness principle and method...