El espacio de la convergencia en medida y su dual.
El espacio de Montel de las funciones vectoriales armónicas en un dominio.
El espacio L1(μ, E).
ELB holomorphic factorization over projective limit representations
Éléments alternés dans les sous-espaces de
Elements generating balayages.
Elliptic Boundary Problems and the Boutet de Monvel Calculus in Besov and Triebel-Lizorkin Spaces.
Elliptic boundary value problem in Vanishing Mean Oscillation hypothesis
In this note the well-posedness of the Dirichlet problem (1.2) below is proved in the class for all and, as a consequence, the Hölder regularity of the solution . is an elliptic second order operator with discontinuous coefficients and the lower order terms belong to suitable Lebesgue spaces.
Elliptic problems in generalized Orlicz-Musielak spaces
We consider a strongly nonlinear monotone elliptic problem in generalized Orlicz-Musielak spaces. We assume neither a Δ2 nor ∇2-condition for an inhomogeneous and anisotropic N-function but assume it to be log-Hölder continuous with respect to x. We show the existence of weak solutions to the zero Dirichlet boundary value problem. Within the proof the L ∞-truncation method is coupled with a special version of the Minty-Browder trick for non-reflexive and non-separable Banach spaces.
Elliptic Riesz operators on the weighted special atom spaces.
Elliptic Systems of Pseudodifferential Equations in the Refined Scale on a Closed Manifold
We study a system of pseudodifferential equations which is elliptic in the Petrovskii sense on a closed smooth manifold. We prove that the operator generated by the system is a Fredholm operator in a refined two-sided scale of Hilbert function spaces. Elements of this scale are special isotropic spaces of Hörmander-Volevich-Paneah.
Embedding in
If is a measurable space and a Banach space, we provide sufficient conditions on and in order to guarantee that , the Banach space of all -valued countably additive measures of bounded variation equipped with the variation norm, contains a copy of if and only if does.
Embedding constants for periodic Sobolev spaces of fractional order.
Embedding in Dugundji spaces, with an application to linear topological classification of spaces of continuous functions
Embedding derivatives of -harmonic tent spaces into Lebesgue spaces.
Embedding of function spaces of variable order of differentiation in function spaces of variable order of integration
The paper deals with embeddings of function spaces of variable order of differentiation in function spaces of variable order of integration. Here the function spaces of variable order of differentiation are defined by means of pseudodifferential operators.
Embedding operators and maximal regular differential-operator equations in Banach-valued function spaces.
Embedding theorems for a certain function class of Sobolev type on metric spaces.
Embedding theorems for a class of functions.
Embedding theorems for anisotropic Lipschitz spaces
Anisotropic Lipschitz spaces are considered. For these spaces we obtain sharp embeddings in Besov and Lorentz spaces. The methods used are based on estimates of iterative rearrangements. We find a unified approach that arises from the estimation of functions defined as minimum of a given system of functions. The case of L¹-norm is also covered.