Uncover the latest and most impactful research in Several Complex Variables and Analytic Spaces. Explore pioneering discoveries, insightful ideas and new methods from leading researchers in the field.
In this paper, we aim to prove the existence of at least three solutions to Robin boundary problem with p(.)-triharmonic operator. The method is mainly related to a three critical points theorem from Ricceri. Moreover, we use some compact embedding...
We study relative cohomology for logarithmic differential forms and meromorphic forms that are relatively closed with respect to the associated logarithmic foliation. Under suitable Diophantine, geometric, and topological hypotheses, we obtain...
Suppose that ( KF ,〈⋅,⋅〉) $(\mathscr{K}_{\mathbb{F}}, \langle \cdot , \cdot \rangle )$ represents a reproducing kernel Hilbert space defined over a non-empty set F $\mathbb{F}$ . Let ξˆ κ $\widehat{\xi }_{\kappa }$ and ξˆ υ $\widehat{\xi }_{\upsilon }$ ...
In this paper, we study one of the fundamental notions in dynamical systems, the shadowing of invertible (bounded and linear) operators on a Hilbert space. Although the problem of finding a spectral characterization for shadowing has been in the...
In this article, we compute the mapping class group of the total space $$S(\xi )$$ S ( ξ ) of the sphere bundle of a 3-dimensional real vector bundle $$\xi $$ ξ over the complex projective plane $$\mathbb {P}^2$$ P 2 with $$\langle p_1(\xi ),...
We present an analogue of Greenberg–Vatsal’s and Emerton–Pollack–Weston’s results on congruences of p-adic L-functions for p-non-ordinary cuspidal eigenforms f and g of equal weight that are p-congruent. In particular, we prove that the Iwasawa...
Let \( (M,\omega _g) \) ( M , ω g ) be a complete Kähler manifold of complex dimension n. We prove that if the holomorphic sectional curvature satisfies \( {HSC} 2 ,\) HSC 2 , then the first positive eigenvalue \(\lambda _1\) λ 1 of the Laplacian on ...
In this paper we address the existence of preferred asymptotic coordinates on asymptotically Euclidean (AE) manifolds \((M^3,g)\) ( M 3 , g ) such that gadmits an asymptotically Schwarzschildian first order expansion, based purely on a priori...
Let M be a compact torsion-free \(G_2\) G 2 7-manifold or Calabi-Yau 6-manifold. We prove Hodge decomposition theorems for the \(dd^\phi \) d d ϕ operators, introduced by Harvey and Lawson [15], which generalize the \(i\partial \bar{\partial }\)...
Abstract We study the three-loop gauge \(\beta\) -functions in general \(\mathcal N=1\) supersymmetric gauge theories regularized by higher-covariant-derivatives (HCD) supplemented with Pauli–Villars subtraction. The all-structure three-loop form of...
In a recent paper, Zhou, Ponnusamy, and Rasila [Math. Nachr. (2025)] have established that the conformal deformations, with parameter \(\epsilon >0\) ϵ > 0 , of a Gromov hyperbolic space via Busemann functions are uniform spaces for sufficiently...
Generalised almost complex structures \(\mathcal {J}\) J on transitive Courant algebroids E are studied in terms of their components with respect to a splitting \(E\cong TM \oplus T^*M \oplus \mathcal {G}\) E ≅ T M ⊕ T ∗ M ⊕ G , where Mdenotes the...
We develop a Weyl-type operator framework associated with the Fourier-Jacobi transform on the positive half-line. The construction is based on a windowed Fourier-Jacobi transform defined through the Jacobi translation operator, which yields a...
We study asymptotic Toeplitzness for Beurling projections and for concrete operators arising from a permutative representation of the Cuntz algebra \(\mathcal {O}_n\) O n on the Hardy space \(H^2\) H 2 . If \(\phi \) ϕ is an inner function and ...
We study the boundedness of fractional integral operators with homogeneous kernels and their commutators on Morrey spaces built on rearrangement-invariant quasi-Banach function spaces . Precisely, we first establish the norm inequalities for these...
We consider the Bochner–Riesz means $$S^\alpha _R$$ S R α associated with the sub-Laplacian $$\mathcal {L}$$ L for the quaternion Heisenberg group and we prove that $$S^\alpha _R$$ S R α are uniformly bounded on $$L^p(\mathcal {Q}\times \mathbb...
The Cauchy dual subnormality problem (for short, CDSP) asks whether the Cauchy dual of a 2-isometry is subnormal. In this article, we prove that if \(\mu \) μ is a sum of unit point mass measures at two non-antipodal points on the unit circle, then...
We determine Fourier coefficients of the Siegel–Eisenstein series \(E_{m+1}^{(2m)}(Z)\) E m + 1 ( 2 m ) ( Z ) in the boundary weight \(m+1\) m + 1 . The constant term is calculated for all odd \(m\ge 3\) m ≥ 3 , whereas the non-zero index terms are...
In this work, we deal with the existence and uniqueness of a positive solution \(u_s\) u s to the singular quasilinear problem \((-\Delta _{\Phi })^s u=u^{-\gamma }\) ( - Δ Φ ) s u = u - γ in the nonreflexive fractional Orlicz–Sobolev space ...
We carry out a Kovalevskaya analysis of the Riccati hierarchy. We determine all indicial loci and Kovalevskaya exponents and identify a rigid recursive structure governing how free parameters enter Laurent solutions. We further identify a nontrivial...
The Journal of Geometric Analysisis dedicated to publishing new results at the interface of analysis, geometry, and partial differential equations....
Complex Analysis and Operator Theory(CAOT) is devoted to the publication of current research developments in the closely related fields of complex...
Integral Equations and Operator Theory(IEOT) is devoted to the publication of current research in integral equations, operator theory and related...
