THE author of this book complains that while Lebesgue integration is everywhere firmly established as an essential part of the theory of functions, its treatment in English text-books “remains ...

Monograf’a dedicada al estudio de la integral de Lebesgue para funciones de varias variables. Esta integral representa un gran avance, pues permite integrar mayor cantidad de funciones que la de ...

Using functions of bounded variation, we define a Volterra type derivative of the linear functional associated with a Lebesgue integrable function and show that it is equal to this function almost ...

In this paper we introduce the one-sided weighted spaces $L_w^ - (\beta )$, — 1 < β < 1. The purpose of this definition is to obtain an extension of the Weyl ...

La integral de Riemann, que sestudia en els cursos dAnàlisis duna variable real, és un instrument útil per al càlcul elemental, no obstant això, no cobreix totes les necessitats de lAnàlisi. Per això, ...

Prof. Lebesgue's reputation was first made by his definitions of the functional operations of integration and derivation, which are of such generality that they may be applied to classes of functions ...