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Relatively compact sets of Banach space-valued bounded-variation spaces
In this paper, we give criteria for the relatively compact sets of Banach space-valued bounded-variation spaces in the sense of Jordan and Banach...
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Set-Valued Functions of Bounded Generalized Variation and Set-Valued Young Integrals
The paper deals with some properties of set-valued functions having bounded Riesz p -variation. Set-valued integrals of Young type for such...
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Asymptotics of the Cross-Variation of Young Integrals with Respect to a General Self-Similar Gaussian Process
We show in this work that the limit in law of the cross-variation of processes having the form of Young integral with respect to a general...
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Rough Differential Equations Containing Path-Dependent Bounded Variation Terms
We consider rough differential equations whose coefficients contain path-dependent bounded variation terms and prove the existence and a priori...
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Weighted Variation Inequalities for Singular Integrals and Commutators in Rearrangement Invariant Banach and Quasi-Banach Spaces
In order to study the boundedness of some operators in general function spaces which include Lorentz spaces and Orlicz spaces as special examples,...
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The Irreducible Representations of S n: Young Symmetrizers
The Irreducible Representations of Sn: Young Symmetrizers introduces Young tableaux, an important tool in the theory of the symmetric group, and...
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Total Variation Error Bounds for the Approximation of the Invariant Distribution of Parabolic Semilinear SPDEs Using the Standard Euler Scheme
We study the long time behavior of the standard linear implicit Euler scheme for the discretization of a class of erdogic parabolic semilinear SPDEs...
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Non-linear Young equations in the plane and pathwise regularization by noise for the stochastic wave equation
We study pathwise regularization by noise for equations on the plane in the spirit of the framework outlined by Catellier and Gubinelli (Stoch...
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Asymptotic Dynamics of Young Differential Equations
We provide a unified analytic approach to study the asymptotic dynamics of Young differential equations, using the framework of random dynamical...
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Asymptotic Distributions for Power Variation of the Solution to a Stochastic Heat Equation
Let u = { u ( t,x ), t ∈ [0, T ], x ∈ ℝ} be a solution to a stochastic heat equation driven by a space-time white noise. We study that the realized power...
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Das Prinzip Variation. Ähnlichkeiten, Unterschiede, Entwicklungen
Variation ist ein universelles Prinzip nicht nur in der Musik. Im Lichte der FL ist es eine Verflechtung von Verwischung und Schärfung. Es geht...
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Selection Properties and Set-Valued Young Integrals of Set-Valued Functions
The paper deals with some selection properties of set-valued functions and different types of set-valued integrals of a Young type. Such integrals...
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Nonlinear Young Differential Equations: A Review
Nonlinear Young integrals have been first introduced in Catellier and Gubinelli (Stoch Process Appl 126(8):2323–2366, 2016) and provide a natural...
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Factorial Supersymmetric Skew Schur Functions and Ninth Variation Determinantal Identities
The determinantal identities of Hamel and Goulden have recently been shown to apply to a tableau-based ninth variation of skew Schur functions. Here...
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Equality of Ultradifferentiable Classes by Means of Indices of Mixed O-regular Variation
We characterize the equality between ultradifferentiable function classes defined in terms of abstractly given weight matrices and in terms of the...
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Estimate for the Rate of Uniform Convergence of the Fourier Series of a Continuous Periodic Function of Bounded \(p\)-Variation
AbstractWe obtain an estimate for the convergence rate of the Fourier series of a continuous periodic function in terms of the modulus of...
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A New Estimate of Double Fourier Coefficients for Functions of Bounded Generalized Variation
AbstractWe consider classes of functions of two variables having generalized bounded variation in the sense of symmetric spaces of sequences and...
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Sparse Domination and Weighted Inequalities for the \(\rho \)-Variation of Singular Integrals and Commutators
This paper gives pointwise sparse domination results for variation operators of singular integrals and commutators with kernels satisfying
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