Some remarks on Triebel spaces
Jürgen Marschall (1987)
Studia Mathematica
Similarity:
Jürgen Marschall (1987)
Studia Mathematica
Similarity:
Wolodymyr Madych (1974)
Studia Mathematica
Similarity:
Paul Sisson (1995)
Studia Mathematica
Similarity:
A rigid space is a topological vector space whose endomorphisms are all simply scalar multiples of the identity map. The first complete rigid space was published in 1981 in [2]. Clearly a rigid space is a trivial-dual space, and admits no compact endomorphisms. In this paper a modification of the original construction results in a rigid space which is, however, the domain space of a compact operator, answering a question that was first raised soon after the existence of complete rigid...
Anna Canale, Patrizia Di Gironimo, Antonio Vitolo (1998)
Studia Mathematica
Similarity:
We introduce a sort of "local" Morrey spaces and show an existence and uniqueness theorem for the Dirichlet problem in unbounded domains for linear second order elliptic partial differential equations with principal coefficients "close" to functions having derivatives in such spaces.
V. Rychkov (1998)
Studia Mathematica
Similarity:
We give characterizations of Besov and Triebel-Lizorkin spaces and in smooth domains via convolutions with compactly supported smooth kernels satisfying some moment conditions. The results for s ∈ ℝ, 0 < p,q ≤ ∞ are stated in terms of the mixed norm of a certain maximal function of a distribution. For s ∈ ℝ, 1 ≤ p ≤ ∞, 0 < q ≤ ∞ characterizations without use of maximal functions are also obtained.
C. Onneweer, Su Weiyi (1989)
Studia Mathematica
Similarity:
Loukas Grafakos (1992)
Revista Matemática Iberoamericana
Similarity:
We continue the study of multilinear operators given by products of finite vectors of Calderón-Zygmund operators. We determine the set of all r ≤ 1 for which these operators map products of Lebesgue spaces L(R) into the Hardy spaces H(R). At the endpoint case r = n/(n + m + 1), where m is the highest vanishing moment of the multilinear operator, we prove a weak type result.
Alf Jonsson, Hans Wallin (1995)
Studia Mathematica
Similarity:
Oscar Salinas (1991)
Revista Matemática Iberoamericana
Similarity:
The main purpose of this work is to obtain a Harnack inequality and estimates for the Green function for the general class of degenerate elliptic operators described below.
Akihito Uchiyama (1985)
Studia Mathematica
Similarity:
M. Angeles Miñarro (1996)
Collectanea Mathematica
Similarity:
In this note we study the topological structure of weighted James spaces J(h). In particular we prove that J(h) is isomorphic to J if and only if the weight h is bounded. We also provide a description of J(h) if the weight is a non-decreasing sequence.