Zobrazeno 1 - 10
of 114
pro vyhledávání: '"Kalita, Hemanta"'
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 type are also discussed. Various inclusion properties are also discussed
Externí odkaz:
http://arxiv.org/abs/2311.05637
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, reflexivity and the Radon-Nikodym property of the Henstock-Orlicz spa
Externí odkaz:
http://arxiv.org/abs/2207.04243
Autor:
Kalita, Hemanta, Hazarika, Bipan
In this {\color{red}{paper}} we discuss about the $ap-$Henstock-Kurzweil integrable functions on a topological vector spaces. Basic results of $ap-$Henstock-Kurzweil integrable functions are discussed here. We discuss the equivalence of the $ap-$Hens
Externí odkaz:
http://arxiv.org/abs/2206.08759
Autor:
Kalita, Hemanta, Hazarika, Bipan
In this article we develop the theory of $H$-Orlicz space generated by generalised Young function. Modular convergence of $H$-Orlicz space for the case of vector-valued functions and norm convergence in $\mcH^\theta(X, \bar{\mu})$ where $X$ is any Ba
Externí odkaz:
http://arxiv.org/abs/2206.02708
Autor:
Kalita, Hemanta, Hazarika, Bipan
In this paper we discuss the structure of Henstock-Orlicz space with locally Henstock integrable functions. The weak Henstock-Orlicz spaces on $\mathbb{R}^n$ and some basic properties of the weak Henstock-Orlicz spaces are studied. We obtain some nec
Externí odkaz:
http://arxiv.org/abs/2205.05552
Publikováno v:
In Digital Communications and Networks August 2024 10(4):989-1000
Autor:
Kalita, Hemanta, Hazarika, Bipan
We investigate some properties and convergence theorem of Kluv\'{a}nek-Lewis-Henstock $\m-$integrability for $\m-$measurable functions that we introduced in \cite{ABH}. We give a $\m-$a.e. convergence version of Dominated (resp. Bounded) Convergence
Externí odkaz:
http://arxiv.org/abs/2106.11778
Publikováno v:
Mathematics, 2020, 8(6), 1005
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 properties and embeddings in $L^p$-type spaces, considering both the norm assoc
Externí odkaz:
http://arxiv.org/abs/2007.00209
Autor:
Hazarika, Bipan, Kalita, Hemanta
Our goal in this article is to construct HK-Sobolev spaces on $\R^\infty$ which contains Sobolev spaces as dense embedding. We discuss that the sequence of weak solution of Sobolev spaces are convergence strongly in HK-Sobolev space. Also, we obtain
Externí odkaz:
http://arxiv.org/abs/2003.07210
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}] $ spaces, as well as the space $\mfM[\R^\iy]$, of finitely additive mea
Externí odkaz:
http://arxiv.org/abs/2002.11512