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A Counterexample on Embedding of Spaces
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Elijah Liflyand
Published/Copyright:
March 11, 2010
Abstract
We give an example of a function which belongs only to the largest space in the chain of embedded spaces, important in various problems of analysis.
Key words and phrases:: Integrability of trigonometric series; Fourier transform; scale of spaces; Telyakovski transform
Received: 2009-06-22
Published Online: 2010-03-11
Published in Print: 2009-December
© Heldermann Verlag
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Keywords for this article
Integrability of trigonometric series;
Fourier transform;
scale of spaces;
Telyakovski transform
Articles in the same Issue
- On the Necessary and Sufficient Conditions for the Stability of Linear Generalized Ordinary Differential, Linear Impulsive and Linear Difference Systems
- Nonlinear Three-Point Boundary Value Problems for a Class of Impulsive Functional Differential Equations
- Unilateral Contact Problems with Friction for Hemitropic Elastic Solids
- A Periodic Boundary Value Problem for Functional Differential Equations of Higher Order
- The Jawerth–Franke Embedding of Spaces with Dominating Mixed Smoothness
- Stability by Fixed Point Theory for Nonlinear Delay Difference Equations
- On the Rates of Convergence of Chlodovsky–Durrmeyer Operators and their Bézier Variant
- On Nonmeasurable Functions of Two Variables and Iterated Integrals
- Bounded and Vanishing at Infinity Solutions of Nonlinear Differential Systems
- On Functional Equations Connected with Quadrature Rules
- The Riemann–Hilbert Problem in a Domain with Piecewise Smooth Boundaries in Weight Classes of Cauchy Type Integrals with a Density from Variable Exponent Lebesgue Spaces
- A Counterexample on Embedding of Spaces
- On Solutions of a Singular Viscoelastic Equation with an Integral Condition
- Nonbounding 𝑛-C.E. 𝑄-Degrees
- Nonequivalence of Unilateral Strong Differentiation Bases in
