Volterra type operators on Morrey type spaces

Volterra-Type Operators on Zygmund Spaces

On isomorphism of two bases in Morrey-Lebesgue type spaces

Double system of exponents with complex-valued coefficients is considered. Under some conditions on the coefficients, we prove that if this system forms a basis for the Morrey-Lebesgue type space on $left[-pi , pi right]$, then it is isomorphic to the classical system of exponents in this space.

Some Remarks on Spaces of Morrey Type

and Applied Analysis 3 In literature, several authors have considered different kinds of weighted spaces of Morrey type and their applications to the study of elliptic equations, both in the degenerate case and in the nondegenerate one see e.g., 9–11 . In this paper, given a weight ρ in a class of measurable functions G Ω see § 6 for its definition , we prove that the corresponding weighted spa...

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.

On infinite dimensional Volterra type operators

Since Lotka and Volterra’s seminal and pioneering works (see [10]) many decades ago, modeling of interacting, competing species have received considerable attention in the fields of biology, ecology, mathematics (for example, see [3, 9]). In their remarkably simple deterministic model, Lotka and Volterra considered two coupled nonlinear differential equations that mimic the temporal evolution o...