Annali dell''Universita di Ferrara最新文献

In this study, we focus on the free metaplectic transform and its implications on the properties of functions. The free metaplectic transform is a generalization of the Fourier transform that allows us to analyze the behavior of functions in the metaplectic domain. F. Moricz previously investigated the properties of functions (fin L^1({mathbb {R}})) whose Fourier transforms (widehat{f}) belong to (L^1({mathbb {R}})). He established certain sufficient conditions based on (widehat{f}) to determine whether f belongs to the Lipschitz classes ({text {Lip}}(gamma )) and ({text {lip}}(gamma )), where (0 < gamma le 1), or the Zygmund classes ({text {Zyg}}(gamma )) and ({text {zyg}}(gamma )), where (0 < gamma le 2). In this study, our aim is to extend these findings and explore the properties of functions in relation to the free metaplectic transform.

In the present paper we investigate an intriguing question on the existence of maximizing curves of degree 7 with some prescribed (textrm{ADE}) singularities. We give a result proving the non-existence of such maximizing septics and we give new examples of conic-line arrangements with some (textrm{ADE}) singularities that are free but not maximizing.

This research article focuses on the approximation properties of semi-exponential Post-Widder operators associated with a quadratic polynomial. We obtain the rate of convergence of these operators for continuous and bounded functions in terms of the modulus of continuity. We prove Voronovskaya-type approximation theorems in polynomial weighted spaces. Furthermore, some direct estimates are also obtained for Lipschitz-type function space.

We prove K-stability of smooth Fano 3-folds of Picard rank 3 and degree 20 that satisfy very explicit generality condition.

In this article, we have first introduced the definition of index of initial term non-gap polynomials (ITNGP). Next, we extend the well known definition of weighted sharing of sets in a more comprehensive manner to establish the definition of weighted sharing of sets in the wider sense. As we have observed that the previous researchers were confined their investigations up to index 3 of ITNGP, we feel that it is reasonable mostly to explore the contribution of ITNGP of index (ge 4) in the literature. Thus in this paper we focus to establish the uniqueness of meromorphic functions under the periphery of extended structures of weighted range sets solely from ({mathbb {C}}). Consequently, we present four theorems which are totally new of its genre.

In this paper, we discuss the oscillation of the nonlinear second-order delay dynamic equation with a sublinear neutral term and establish some new criteria. Further, we show application to second order neutral dynamic equations. The presented results essentially extend and improve the existing ones. Examples are provided for better illustration.

Suppose (Re ) is a ring and (g:Re rightarrow Q_{r}) be an arbitrary map. An additive map (d:Re rightarrow Q_{r}) is said to be g-derivation if (d(xy) = d(x)y+g(x)d(y))  holds (~ text{ for } text{ all }~ x,yin Re .) An additive map (G:Re rightarrow Q_{r}) is said to be generalized g-derivation if (G(xy) = G(x)y+g(x)d(y))  holds (~ text{ for } text{ all }~ x,yin Re .) For any subset S of (Re ), (Ssubseteq Re ). The left annihilator of S in (Re ) is denoted by (l_{Re }(S)) and defined by (l_{Re }(S) = {xin Re mid xS = 0}.) In the present paper, we study the left annihilator identities on prime rings admitting multiplicative generalized g-derivations.

The aim of this research is to investigate solvability of an infinite system of nonlinear fractional integral equations in two variables using the measure of noncompactness in Banach algebra (C(Itimes I,E)). Our result is illustrated with an example.

We study weight metrics and essential skeletons of pairs in the Berkovich analytification of a variety over a trivially-valued field of characteristic zero. In the smooth case, we show that Temkin’s canonical metric on pluricanonical bundles coincides with the weight metric defined via log discrepancies.

Using elementary methods of algebraic geometry, we present constructions of hyperelliptically fibred surfaces containing nodal fibres.