P. Muldowney, V. A. Skvortsov, “Improper Riemann Integral and Henstock Integral in $\mathbb R^n$”, Mat. Zametki, 78:2 (2005), 251–258; Math. Notes, 78:2 (2005), 228

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Matematicheskie Zametki, 2005, Volume 78, Issue 2, Pages 251–258
DOI: https://doi.org/10.4213/mzm2582 (Mi mzm2582)

This article is cited in 6 scientific papers (total in 6 papers)

Improper Riemann Integral and Henstock Integral in

$\mathbb R^n$

P. Muldowney^a, V. A. Skvortsov^b

^a University of Ulster
^b M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Full-text PDF (198 kB) Citations (6)

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DOI: https://doi.org/10.4213/mzm2582

Abstract: The Henstock integral in

$\mathbb R^n$ and its relation to the

$n$ -dimensional improper Riemann integral are studied. A Hake-type theorem for the Henstock integral in

$\mathbb R^n$ is proved.

Received: 12.05.2004

English version:
Mathematical Notes, 2005, Volume 78, Issue 2, Pages 228–233
DOI: https://doi.org/10.1007/s11006-005-0119-7

Bibliographic databases:

UDC: 517.382+517.518.126

Language: Russian

Citation: P. Muldowney, V. A. Skvortsov, “Improper Riemann Integral and Henstock Integral in

$\mathbb R^n$ ”, Mat. Zametki, 78:2 (2005), 251–258; Math. Notes, 78:2 (2005), 228–233

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/mzm2582

https://doi.org/10.4213/mzm2582

https://www.mathnet.ru/eng/mzm/v78/i2/p251

This publication is cited in the following 6 articles:

Francisco J. Mendoza, Juan H. Arredondo, Salvador Sánchez-Perales, Oswaldo Flores-Medina, Edgar Torres-Teutle, “The double Fourier transform of non-Lebesgue integrable functions of bounded Hardy–Krause variation”, Georgian Mathematical Journal, 30:3 (2023), 403
Skvortsov V., Tulone F., “A Version of Hake'S Theorem For Kurzweil-Henstock Integral in Terms of Variational Measure”, Georgian Math. J., 28:3 (2021), 471–476
Gauge Integral Structures for Stochastic Calculus and Quantum Electrodynamics, 2021, 363
Flores-Medina O., Arredondo J.H., Escamilla-Reyna J.A., Mendoza-Torres F.J., “On the Factorization Theorem For the Tensor Product of Integrable Distributions”, Ann. Funct. Anal., 11:1 (2020), 118–136
Boccuto A., Skvortsov V.A., Tulone F., “A Hake-Type Theorem for Integrals with Respect to Abstract Derivation Bases in the Riesz Space Setting”, Math. Slovaca, 65:6 (2015), 1319–1336
V. A. Skvortsov, F. Tulone, “Generalized Hake property for integrals of Henstock type”, Moscow University Mathematics Bulletin, 68:6 (2013), 270–274

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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