The space of Henstock integrable functions of two variables.
The surface integral
The topology of the space of integrable functions in
It is known that there is no natural Banach norm on the space of -dimensional Henstock-Kurzweil integrable functions on . We show that the space is the uncountable union of Fréchet spaces . On each space, an -norm is defined. A -convergent sequence is equivalent to a control-convergent sequence. Furthermore, an -norm is also defined for a -continuous linear operator. Hence, many important results in functional analysis hold for the space. It is well-known that every control-convergent...
Transformation of -dimensional Lebesgue integrals
Über eine Formel für numerische Berechnung der bestimmten Integrale
Ueber den Werth einiger Integrale.
Ueber die Grenzwerthe der Quotienten
Ueber eine neue Bedingung für den gewöhnlichen Mittelwerthsatz
Ueber einige bestimmte Integrale
Ueber Integration und Differentiation infinitärer Relationen
Ueber mehrfache Integrale, welche durch eine Transformation der Variabeln ihre Gestalt nicht ändern.
Untersuchungen über die unendlich oft oscillirenden und unstetigen Functionen. (Abdruck aus dem Gratulationsprogramm der Tübinger Universität vom 6. März 1870.)
Upper and lower Lebesgue-Stieltjes integrals
Variational measures related to local systems and the Ward property of -adic path bases
Some properties of absolutely continuous variational measures associated with local systems of sets are established. The classes of functions generating such measures are described. It is shown by constructing an example that there exists a -adic path system that defines a differentiation basis which does not possess Ward property.
Základy theorie integrálu v Euklidových prostorech. [I.]
Základy theorie integrálu v Euklidových prostorech. [II.]
Základy theorie integrálu v Euklidových prostorech. [III.]
Zygmund's Lemma and Riemann integrability
Φ V[h] and Riemann-Stieltjes integration
Заметка к теории поверхностного интеграла