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A new characterization of certain Dirichlet type spaces with application

期刊: BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2021; 28 (1)

Let mu be a positive Borel measure defined on the boundary of the unit disk. In this paper, we give a new characterization for the Dirichlet type spac......

Binomial Sums with Pell and Lucas Polynomials

期刊: BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2021; 28 (1)

Binomial sums with Pell and Lucas polynomials as weight functions are explicitly evaluated. Their special cases result in several interesting identiti......

Critical Fujita Exponent for the Porous Medium Equation in R-N with hole

期刊: BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2020; 27 (2)

We study the large time behavior of solutions to the Neumann Problem of the porous medium equation. It is shown that the critical Fujita exponent is d......

Reconstruction of tensor categories from their structure invariants

期刊: BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2020; 27 (2)

In this paper, we study tensor (or monoidal) categories of finite rank over an algebraically closed field IF. Given a tensor category C, we have two s......

Left counital Hopf algebras on bi-decorated planar rooted forests and Rota-Baxter systems

期刊: BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2020; 27 (2)

Involving an extended 1-cocycle condition, we first define a coproduct on the space of bi-decorated planar rooted forests to equip it with a left coun......

On the Exponential Diophantine Equation (a(n)-1) (b(n)-1) = x(2)

期刊: BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2020; 27 (2)

Let a and b be two distinct fixed positive integers such that min{a, b} > 1. First, we correct an oversight from [12]. Then, we show that the equat......

Stability of epsilon-isometries on the positive cones of finite-dimensional Banach spaces

期刊: BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2020; 27 (5)

A weak stability bound for the epsilon-isometry f form the positive cone of a reflexive, strictly convex and Gateaux smooth Banach lattice X to a Bana......

On Invariant Subspaces of Subdecomposable Operators

期刊: BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2020; 27 (5)

In this paper, we prove the Mohebi-Radjabalipour Conjecture under an additional condition, and obtain a new invariant subspace theorem for subdecompos......

Order boundedness of weighted composition operators on weighted Dirichlet spaces and derivative Hardy spaces

期刊: BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2020; 27 (4)

In this paper, we completely characterize the order boundedness of weighted composition operators between different weighted Dirichlet spaces and diff......

L-f(2)p-harmonic 1-forms on f-minimal hypersurfaces in a weighted manifold

期刊: BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2020; 27 (4)

In this paper, we prove the nonexistence of L-f(2p)-harmonic 1-forms on a complete noncompact f-minimal hypersurface in a weighted manifold with nonpo......

Growth on Meromorphic Solutions of Non-linear Delay Differential Equations

期刊: BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2019; 26 (1)

By using Nevanlinna theory and linear algebra, we show that the number one is a lower bound of the hyper-order of any meromorphic solution of a non-li......

JIF:0.42

Blow-up and exponential decay of solutions to a class of pseudo-parabolic equation

期刊: BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2019; 26 (5)

In this paper, we consider a class of pseudo-parabolic equation, which was studied extensively in recent years, and the main results on blow-up depend......

JIF:0.42

On compactly-fibered coset spaces

期刊: BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2019; 26 (3)

Topological properties of compactly-fibered coset spaces are investigated. It is proved that for a compactly-fibered coset space X with Nag(X) <= t......

JIF:0.42

Some Characterizations of Composition Operators on Weighted Dirichlet Spaces

期刊: BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2019; 26 (3)

In this paper, we give three different characterizations for the bounded-ness and compactness of composition operators between different weighted Diri......

JIF:0.42

Rings in which elements are a sum of a central and a unit element

期刊: BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2019; 26 (4)

In this paper we introduce a new class of rings whose elements are a sum of a central and a unit element, namely a ring R is called CU if each element......

JIF:0.42

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