The $L^{r}$ Henstock–Kurzweil integral
Volume 160 / 2004
                    
                    
                        Studia Mathematica 160 (2004), 53-81                    
                                        
                        MSC: Primary 26A39, 26A42; Secondary 26A24, 26A46.                    
                                        
                        DOI: 10.4064/sm160-1-3                    
                                    
                                                Abstract
We present a method of integration along the lines of the Henstock–Kurzweil integral. All $L^{r}$-derivatives are integrable in this method.