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Total negativity: Characterizations and single-vector tests

期刊: BULLETIN DES SCIENCES MATHEMATIQUES, 2023; 186 ()

A matrix is called totally negative (totally non-positive) of order k, if all its minors of size at most k are negative (non-positive). The objective ......

Stability of Syzygy bundles corresponding to stable vector bundles on algebraic surfaces

期刊: BULLETIN DES SCIENCES MATHEMATIQUES, 2023; 189 ()

Let (X, H) be a polarized smooth projective algebraic surface and E is globally generated, stable vector bundle on X. Then the Syzygy bundle ME associ......

The Demailly systems with the vortex ansatz

期刊: BULLETIN DES SCIENCES MATHEMATIQUES, 2023; 187 ()

For an arbitrary-rank vector bundle over a projective manifold, J.-P. Demailly proposed several systems of equations of Hermitian-Yang-Mills type for ......

Coefficient bounds in the class of functions associated with Sakaguchi's functions

期刊: BULLETIN DES SCIENCES MATHEMATIQUES, 2023; 188 ()

In this paper, for some alpha, zeta, alpha is an element of [0, 1), |zeta| <= 1, we consider normalized analytic functions f such that (1 -zeta)zf'......

Semi-stable twisted holomorphic vector bundles over Gauduchon manifolds

期刊: BULLETIN DES SCIENCES MATHEMATIQUES, 2023; 187 ()

In this paper, we study the semi-stable twisted holomorphic vector bundles over compact Gauduchon manifolds. By using Uhlenbeck-Yau's continuity metho......

Ornstein-Uhlenbeck operators and holomorphic representations for a class of bounded symmetric domains

期刊: BULLETIN DES SCIENCES MATHEMATIQUES, 2023; 187 ()

Let G be the group of holomorphic automorphisms of a bounded symmetric domain D. We discuss the correspondence between unitarizing measures for scalar......

The product of small Hankel operators on the Bergman space

期刊: BULLETIN DES SCIENCES MATHEMATIQUES, 2023; 187 ()

In this paper, we establish necessary conditions and sufficient conditions for the boundedness and compactness of the small Hankel product & UGamm......

Refinements of generalised Hermite-Hadamard inequality

期刊: BULLETIN DES SCIENCES MATHEMATIQUES, 2023; 188 ()

New insights, improvements and refinements of the well known Hermite-Hadamard inequality are established for a general class of convex functions. Ineq......

Some existence and uniqueness results for a class of proportional Liouville-Caputo fractional stochastic differential equations

期刊: BULLETIN DES SCIENCES MATHEMATIQUES, 2023; 189 ()

This paper is devoted to a systematic discussion of the existence and uniqueness of solution of a family of proportional Liouville-Caputo fractional s......

Characterization of the kukles polynomial differential systems having an invariant algebraic curve

期刊: BULLETIN DES SCIENCES MATHEMATIQUES, 2023; 182 ()

Let f(x) and g(x) be complex polynomials. We characterize all Kukles polynomial differential systems of the form x ⠂ = y, y ⠂ = -y2 - f (x)y - g(x) ha......

New Yamabe-type flow in a compact Riemannian manifold

期刊: BULLETIN DES SCIENCES MATHEMATIQUES, 2023; 184 ()

In this paper, we set up a new Yamabe type flow on a compact Riemannian manifold (M, g) of dimension n & GE; 3. Let & psi;(x) be any smooth fu......

Finite groups with average number of character zeros equal to one

期刊: BULLETIN DES SCIENCES MATHEMATIQUES, 2023; 185 ()

In this paper, we classify all finite groups with the average number of zeros in the character table equal to one.& COPY; 2023 Elsevier Masson SAS......

Penalization method for reflected BDSDEs with two-sided jumps and driven by Levy process

期刊: BULLETIN DES SCIENCES MATHEMATIQUES, 2023; 186 ()

In this paper, we prove the existence and uniqueness of the solution to reflected backward doubly stochastic differential equations driven by Teugels ......

A new orthogonal polynomial associated with a generalization of Delannoy numbers

期刊: BULLETIN DES SCIENCES MATHEMATIQUES, 2023; 187 ()

In this paper, we define a general class of orthogonal polynomials D-n((r))( x, y) and derive a relationship between D-n((r))(x, y) and generalized De......

Multiple weighted estimates for bilinear Calderon-Zygmund operator and its commutator on non-homogeneous spaces

期刊: BULLETIN DES SCIENCES MATHEMATIQUES, 2023; 187 ()

Let (chi, d, mu) be a non-homogeneous metric measure space. In this setting, the author proves that the bilinear Calderon-Zygmund operator (T) over ti......

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