9 citations · 12 across the 11 of their papers we have counts for
12 papers
Non-absolute integrable function spaces on metric measure spaces
Parthapratim Saha Bipan Hazarika, Hemanta Kalita
Kuelbs-Steadman spaces are introduced in this article on a separable metric space with finite diameter and finite positive Borel measure. Kuelbs-Steadman spaces of the Lipschitz ty…
On Geometric properties of Henstock-Orlicz spaces
Hemanta Kalita, Salvador Sánchez Perales, Bipan Hazarika
In this paper we extend the theory of Henstock-Orlicz spaces with respect to vector measure. We study the integral representation of operators. Lastly we study Uniformly convexity,…
A convergence theorem for Henstock-Kurzweil integral and its relation to topology
Hemanta Kalita, Bipan Hazarika
In this {\color{red}{paper}} we discuss about the Henstock-Kurzweil integrable functions on a topological vector spaces. Basic results of Henstock-Kurzweil integrable fun…
Modular convergence in -Orlicz spaces of Banach valued functions
Hemanta Kalita, Bipan Hazarika
In this article we develop the theory of -Orlicz space generated by generalised Young function. Modular convergence of -Orlicz space for the case of vector-valued functions a…
Weak Henstock-Orlicz space and inclusion properties
Hemanta Kalita, Bipan Hazarika
In this paper we discuss the structure of Henstock-Orlicz space with locally Henstock integrable functions. The weak Henstock-Orlicz spaces on and some basic propert…
Kluvánek-Lewis-Henstock integral in a Banach space
Hemanta Kalita, Bipan Hazarika
We investigate some properties and convergence theorem of Kluvánek-Lewis-Henstock $\m-$integrability for $\m-$measurable functions that we introduced in \cite{ABH}. We give a $\m-$…
Kuelbs-Steadman spaces for Banach space-valued measures
Antonio Boccuto, Bipan Hazarika, Hemanta Kalita
We introduce Kuelbs-Steadman-type spaces for real-valued functions, with respect to countably additive measures, taking values in Banach spaces. We investigate their main propertie…
HK-Sobolev space on and Bessel Potential
Bipan Hazarika, Hemanta Kalita
Our goal in this article is to construct HK-Sobolev spaces on which contains Sobolev spaces as dense embedding. We discuss that the sequence of weak solution of Sobolev…
Kuelbs-Steadman spaces on Separable Banach spaces
Hemanta Kalita, Bipan Hazarika, Timothy Myers
The purpose of this paper is to construct a new class of separable Banach spaces $\K^p[\mathbb{B}], \; 1\leq p \leq \infty$. Each of these spaces contain the $ \mcL^p[\mathbb{B}] $…
Approach to the construction of the spaces for
Hemanta Kalita, Bipan Hazarika
The objective of this paper is to construct separable Banach spaces for , each of which contains the spac…
Countable additivity of Henstock-Dunford Integral and Orlicz Space
Hemanta Kalita, Bipan Hazarika
Given a real Banach space and probability space we characterize the countable additivity of Henstock-Dunford integral for Henstock integrable function tak…
Henstock-Orlicz space and its dense space
Bipan Hazarika, Hemanta Kalita
The motivation of the article is to introduce Henstock-Orlicz space with non-absolute integrable functions. We prove is dense in the Henstock-Orlicz space, which…