Abstract
In this work, the direct theorem of approximation theory in variable exponent Morrey–Smirnov classes of analytic functions, defined on a doubly connected domain of the complex plane bounded by two sufficiently smooth curves, is investigated.
Highlights
Introduction e classicalMorrey spaces were introduced by Morrey in [1] in order to investigate the local behavior of the solutions of elliptic differential equations
Approximation one direct theorem of approximation theory in variable exponent Morrey–Smirnov classes of analytic functions, defined on a doubly connected domain bounded by two Dini-smooth curves, is obtained
B(t, r) {z ∈ C: |z − t| < r}. e classical Morrey spaces Lp,λ(Γ) for given 0 ≤ λ ≤ 1 and 1 ≤ p < ∞ are defined as the set of functions f ∈ Lploc(Γ) such that
Summary
Introduction e classicalMorrey spaces were introduced by Morrey in [1] in order to investigate the local behavior of the solutions of elliptic differential equations. Approximation one direct theorem of approximation theory in variable exponent Morrey–Smirnov classes of analytic functions, defined on a doubly connected domain bounded by two Dini-smooth curves, is obtained. Let J denote the interval [0, 2π] or a Jordan rectifiable curve Γ, and let ℘ denote the class of all Lebesgue measurable functions p(.): Γ ⟶ [1, ∞[ such that 1 < p−
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