Morrey Sequence Spaces: Pitt’s Theorem and Compact Embeddings

Embeddings of Weighted Morrey

Spaceability on Morrey Spaces

In this paper, as a main result for Morrey spaces, we prove that the set $mathcal M_q^p(mathbb R^n)backslashbigcup_{q<rleq p}mathcal M_r^p(mathbb R^n)$ is spaceable in $mathcal M_q^p(mathbb R^n)$, where $0<q<p<infty$.}

Compact Embeddings of Broken Sobolev Spaces and Applications

In this paper we present several extensions of theoretical tools for the analysis of Discontinuous Galerkin (DG) method beyond the linear case. We define broken Sobolev spaces for Sobolev indices in [1,∞), and we prove generalizations of many techniques of classical analysis in Sobolev spaces. Our targeted application is the convergence analysis for DG discretizations of energy minimization pro...

Fix Point Theorem for Compact Spaces

The articles [10], [11], [1], [5], [8], [7], [12], [3], [9], [4], [2], and [6] provide the notation and terminology for this paper. In this paper M denotes a non empty metric space. One can prove the following proposition (1) Let F be a set. Suppose F is finite and F 6= / 0 and F is ⊆-linear. Then there exists a set m such that m ∈ F and for every set C such that C ∈ F holds m⊆C. Let M be a non...

Dual Spaces of Local Morrey-type Spaces

In this paper we have shown that associated and dual spaces of local Morrey-type spaces are ”so called” complementary local Morrey-type spaces. Our method is based on characterization of multidimensional reverse Hardy inequalities.