The classical Morrey spaces were introduced in [6] by Morrey to study the local behaviour of solutions to second order elliptic partial differential equations. Since then, these spaces play an… (More)

The Fefferman-Stein vector-valued maximal function inequality is proved for spaces of homogeneous type. The approach taken here is based on the theory of vector-valued Calderón-Zygmund singular… (More)

Let X be an RD-space with μ(X ) = ∞, which means that X is a space of homogeneous type in the sense of Coifman and Weiss and its measure has the reverse doubling property. In this paper, we… (More)

Preface This special issue of Fundamenta Informaticae (FI) contains a selection of papers presented initially RSKT is an international scientific conferences series that had been held successfully… (More)

and define Lp,λ(Ω) to be the set of measurable functions f such that ‖f‖Lp,λ(Ω) < ∞, where, and in what follows, Bρ(x) = {y ∈ Rn : |x−y| < ρ} for any ρ > 0. The space Lp,λ(Ω) is usually called the… (More)

Let L be the divergence form elliptic operator with complex bounded measurable coefficients, ω the positive concave function on (0,∞) of strictly critical lower type pω ∈ (0, 1] and ρ(t) = t/ω(t) for… (More)

Let X be an RD-space, which means that X is a space of homogenous type in the sense of Coifman and Weiss with the additional property that a reverse doubling property holds in X . In this paper, the… (More)

In this paper, we establish the equivalence between the Haj lasz-Sobolev spaces or classical Triebel-Lizorkin spaces and a class of grand Triebel-Lizorkin spaces on Euclidean spaces and also on… (More)

Let A1 and A2 be expansive dilations, respectively, on R n and R. Let ~ A ≡ (A1, A2) and Ap( ~ A) be the class of product Muckenhoupt weights on R × R for p ∈ (1, ∞]. When p ∈ (1, ∞) and w ∈ Ap( ~… (More)