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Theory of generalized Bessel potential space and functional completion
The article’s objective is to present norms based on weighted Dirichlet integrals in the space of generalized Bessel potentials. The weighted...
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On Tightness-Type Properties of the Space of Weakly Additive Functionals
AbstractWe study tightness-type properties such as tightness, minitightness, and local density of the space of weakly additive functionals with...
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Expansivity property for composition operators on the Orlicz–Lorentz space
In this paper, we study the Orlicz–Lorentz space which is the extension of Orlicz and Lorentz space. Further, we study the concept of expansivity for...
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Semi-commutants of toeplitz operators on the Fock-Sobolev space
In this paper, we consider the semi-commutants of Toeplitz operators on the Fock-Sobolev space of the complex plane. This work generalizes several...
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Weak Faces of Highest Weight Modules and Root Systems
Chari and Greenstein (Adv. Math. 220 (4), 1193–1221,
2009 ) introduced certain combinatorial subsets of the roots of a finite-dimensional simple Lie... -
A natural compactification of the Gromov–Hausdorff space
In this paper, we introduce a pseudometric on the family of isometry classes of (extended) metric spaces. Using it, we obtain a natural...
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K-uniform convexity in Orlicz-Lorentz function space equipped with the Orlicz norm
The necessary and sufficient conditions for k-uniform convexity in Orlicz-Lorentz function spaces equipped with the Orlicz norm and generated by N -fun...
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Analysis of the weighted Tchebycheff weight set decomposition for multiobjective discrete optimization problems
Scalarization is a common technique to transform a multiobjective optimization problem into a scalar-valued optimization problem. This article deals...
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The Weighted p-Norm Weight Set Decomposition for Multiobjective Discrete Optimization Problems
Many solution algorithms for multiobjective optimization problems are based on scalarization methods that transform the multiobjective problem into a...
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Two-Weight Inequalities for Multilinear Commutators in Product Spaces
This article is devoted to establishing two-weight estimates for commutators of singular integrals. We combine multilinearity with product spaces. A...
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The moduli space of quasistable spin curves
We study a compactification of the moduli space of theta characteristics, giving a modular interpretation of the geometric points and describing the...
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Hardy-Type Inequalities for the Jacobi Weight with Applications
We prove some new Hardy-type inequalities for the Jacobi weight function. The resulting inequalities contain additional terms with the weight...
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Weighted theory of Toeplitz operators on the Bergman space
We study the weighted compactness and boundedness properties of Toeplitz operators on the Bergman space with respect to Békollè-Bonami type weights....
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On Almost Statistical Convergence of Weight r
In this paper, we introduce the opinion of \(\tau \)...