Article
Licensed
Unlicensed
Requires Authentication
Representation of Quasi-Measure by Henstock–Kurzweil Type Integral on a Compact-Zero Dimensional Metric Space
-
Valentin Skvortsov
and Francesco Tulone
Published/Copyright:
March 10, 2010
Abstract
A derivation basis is introduced in a compact zero-dimensional metric space 𝑋. A Henstock–Kurzweil type integral with respect to this basis is defined and used to represent the so-called quasi-measure on 𝑋.
Key words and phrases:: Henstock–Kurzweil integral; derivation basis; compact zero-dimensional metric space; quasi-measure
Received: 2009-06-15
Published Online: 2010-03-10
Published in Print: 2009-September
© Heldermann Verlag
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Boundary Value Problems for Fractional Differential Equations
- On the Approximate Properties of Generalized Cesàro Means of Conjugate Trigonometric Fourier Series
- Another Version of Fuglede–Putnam Theorem
- On Divergence of Fourier Series with Respect to Multiplicative Systems on the Sets of Measure Zero
- Uniqueness of Entire or Meromorphic Functions Concerning Differential Polynomials
- An Almost Greedy Uniformly Bounded Orthonormal Basis in 𝐿𝑝(·)([0, 1]) Spaces
- Rate of Approximation for Certain Szasz–Mirakyan–Durrmeyer Operators
- On the (𝐶, α)-Means of Quadratic Partial Sums of Double Walsh–Kaczmarz–Fourier Series
- Convergence in Measure of Partial Sums of Double Vilenkin–Fourier Series
- On the Exponential Uniform Strong Summability of Multiple Trigonometric Fourier Series
- On the Integrability and Uniform Convergence of Multiplicative Fourier Transforms
- A Note on the Boundedness of the Hilbert Transform in Weighted Grand Lebesgue Spaces
- Necessary Conditions for Integrability of the Fourier Transform
- The Diagonal Mapping in Bmoa-Type Spaces of Analytic Functions on the Polydisk
- Representation of Quasi-Measure by Henstock–Kurzweil Type Integral on a Compact-Zero Dimensional Metric Space
- T-Direction and Borel Direction of Algebroid Functions of Finite and Positive Order
Keywords for this article
Henstock–Kurzweil integral;
derivation basis;
compact zero-dimensional metric space;
quasi-measure
Articles in the same Issue
- Boundary Value Problems for Fractional Differential Equations
- On the Approximate Properties of Generalized Cesàro Means of Conjugate Trigonometric Fourier Series
- Another Version of Fuglede–Putnam Theorem
- On Divergence of Fourier Series with Respect to Multiplicative Systems on the Sets of Measure Zero
- Uniqueness of Entire or Meromorphic Functions Concerning Differential Polynomials
- An Almost Greedy Uniformly Bounded Orthonormal Basis in 𝐿𝑝(·)([0, 1]) Spaces
- Rate of Approximation for Certain Szasz–Mirakyan–Durrmeyer Operators
- On the (𝐶, α)-Means of Quadratic Partial Sums of Double Walsh–Kaczmarz–Fourier Series
- Convergence in Measure of Partial Sums of Double Vilenkin–Fourier Series
- On the Exponential Uniform Strong Summability of Multiple Trigonometric Fourier Series
- On the Integrability and Uniform Convergence of Multiplicative Fourier Transforms
- A Note on the Boundedness of the Hilbert Transform in Weighted Grand Lebesgue Spaces
- Necessary Conditions for Integrability of the Fourier Transform
- The Diagonal Mapping in Bmoa-Type Spaces of Analytic Functions on the Polydisk
- Representation of Quasi-Measure by Henstock–Kurzweil Type Integral on a Compact-Zero Dimensional Metric Space
- T-Direction and Borel Direction of Algebroid Functions of Finite and Positive Order