In this paper we introduce the notion of decomposability in the space of Henstock-Kurzweil-Pettis integrable (for short HKP-integrable) functions. We show representations theorems for decomposable sets of HKP-integrable or Henstock integrable functions, in terms of the family of selections of suitable multifunctions
This paper investigates second-order representations in the sense of Kawamuraand Cook for spaces of ...
We define for 1 <= r < infinity a norm for the class of functions which are Henstock-Kurzweil ...
We give an example of a function from [a; b] into c0, which is Henstock-Kurzweil integrable on [a; b...
In this paper we introduce the notion of decomposability in the space of Henstock-Kurzweil-Pettis in...
The notion of decomposability for families of Banach space valued functions is a certain kind of ge...
We proved in one of our earlier papers that in case of separable Banach space valued multifunctions...
We prove that if X is a separable Banach space, then a measurable multifunction Γ : [0, 1] → ck(X) i...
The aim of this paper is to describe Henstock-Kurzweil-Pettis (HKP for short) integrable compact val...
summary:Applying a simple integration by parts formula for the Henstock-Kurzweil integral, we obtain...
Fremlin [Ill J Math 38:471-479, 1994] proved that a Banach space valued function is McShane integrab...
In this paper, we give several characterizations of decomposable subsets of the space of Pettis inte...
The aim of this paper is to study relationships among ``gauge integrals'' (Henstock, Mc Shane, B...
summary:The space $\mathcal {HK}$ of Henstock-Kurzweil integrable functions on $[a,b]$ is the uncoun...
We prove that several results of Talagrand proved for the Pettis integral hold true also for the Kur...
summary:We consider the Fourier transform in the space of Henstock-Kurzweil integrable functions. We...
This paper investigates second-order representations in the sense of Kawamuraand Cook for spaces of ...
We define for 1 <= r < infinity a norm for the class of functions which are Henstock-Kurzweil ...
We give an example of a function from [a; b] into c0, which is Henstock-Kurzweil integrable on [a; b...
In this paper we introduce the notion of decomposability in the space of Henstock-Kurzweil-Pettis in...
The notion of decomposability for families of Banach space valued functions is a certain kind of ge...
We proved in one of our earlier papers that in case of separable Banach space valued multifunctions...
We prove that if X is a separable Banach space, then a measurable multifunction Γ : [0, 1] → ck(X) i...
The aim of this paper is to describe Henstock-Kurzweil-Pettis (HKP for short) integrable compact val...
summary:Applying a simple integration by parts formula for the Henstock-Kurzweil integral, we obtain...
Fremlin [Ill J Math 38:471-479, 1994] proved that a Banach space valued function is McShane integrab...
In this paper, we give several characterizations of decomposable subsets of the space of Pettis inte...
The aim of this paper is to study relationships among ``gauge integrals'' (Henstock, Mc Shane, B...
summary:The space $\mathcal {HK}$ of Henstock-Kurzweil integrable functions on $[a,b]$ is the uncoun...
We prove that several results of Talagrand proved for the Pettis integral hold true also for the Kur...
summary:We consider the Fourier transform in the space of Henstock-Kurzweil integrable functions. We...
This paper investigates second-order representations in the sense of Kawamuraand Cook for spaces of ...
We define for 1 <= r < infinity a norm for the class of functions which are Henstock-Kurzweil ...
We give an example of a function from [a; b] into c0, which is Henstock-Kurzweil integrable on [a; b...
DOI
Add to ORKG