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Upper bound for the second and third Hankel determinants of analytic functions associated with the error function and q-convolution combination
Recently, El-Deeb and Cotîrlă (Mathematics 11:11234834,
2023 ) used the error function together with a q -convolution to introduce a new operator. By... -
A Convolution-Based Method for an Integro-Differential Equation in Mechanics
Peridynamics is a second order in time partial integro-differential equation introduced to study elastodynamic problems in the nonlocal framework. In...
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Charmenability of arithmetic groups of product type
We discuss special properties of the spaces of characters and positive definite functions, as well as their associated dynamics, for arithmetic...
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Discretized Sum-product and Fourier decay in ℝn
We generalize Bourgain’s theorem on the decay of the Fourier transform of the multiplicative convolution of measures on ℝ to the ring ℝ n , where the...
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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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Uniform convolution estimates for complex polynomial curves in \({\mathbb {C}}^3\)
We establish optimal ( p , q ) ranges for the weighted convolution operator associated with a complex polynomial curve. Establishing this estimate comes...
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On the support of the free additive convolution
We consider the free additive convolution of two probability measures μ and ν on the real line and show that μ ⊞ v is supported on a single interval...
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On Young’s Convolution Inequality for Heisenberg Groups
Young’s convolution inequality provides an upper bound for the convolution of functions in terms of L p norms. It is known that for certain groups,...
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On Asymptotic Behavior of the Convolution of Distributions with Regularly Exponentially Decreasing Tails
In this note, we study the asymptotic behavior of tails of distributions and density of a sum of independent random variables in the case where the...
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Applying Wavelet Transforms as a Solution for Convolution Type Equations
By analogy with the method of solving a convolution-type equation regarding Fourier transforms, the work presents similar properties for the...
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Multiple Convolution Formulae of Bernoulli and Euler Numbers
By examining higher derivatives of hyperbolic functions, we derive monomial and binomial representation formulae, that are utilized to establish...
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Integro-Differential Equation of the Convolution Type with a Power Nonlinearity and a Nonlinear Coefficient
AbstractFor an integro-differential equation of the convolution type with a power nonlinearity and a variable coefficient defined on the half-line
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Boundedness Criterion for Multi-sublinear Operators and Their Commutators Generated by Multilinear Fractional Integral Operator on Product Generalized Mixed Morrey Spaces
The purpose of this paper is to study the boundedness for a large class of multi-sublinear operators T α,m generated by multilinear fractional...
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Quaternion offset linear canonical transform in one-dimensional setting
In this paper, we introduce quaternion offset linear canonical transform of integrable and square integrable functions. Moreover, we show that the...