Strong well‐posedness for a stochastic fluid‐rigid body system via stochastic maximal regularity
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract We develop a rigorous analytical framework for a coupled stochastic fluid‐rigid body system in R3$\mathbb {R}^3$. The model describes the motion of a rigid ball immersed in an incompressible Newtonian fluid subjected to both additive noise in the fluid and body equations and transport‐type noise in the fluid equation. We establish local strong
Felix Brandt, Arnab Roy
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Approximation properties of a modified Gauss–Weierstrass singular integral in a weighted space
Journal of Inequalities and ApplicationsSingular integral operators play an important role in approximation theory and harmonic analysis. In this paper, we consider a weighted Lebesgue space L p , w $L^{p,w}$ , define a modified Gauss–Weierstrass singular integral on it, and study direct and ...
Abhay Pratap Singh, Uaday Singh
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Fourier Inequalities and Moment Subspaces in Weighted Lebesgue Spaces
Journal of Fourier Analysis and Applications, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generalization of one theorem of F. Riesz to some other spaces
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 It is known from the analysis course that in order a function to serve as an undefined integral of a summable function, it is necessary and sufficient that it be absolutely continuous. Therefore, it is natural to raise the question of the characteristic
S. Bitimkhan, D.T. D.T.
doaj
On converse theorems of trigonometric approximation in weighted variable exponent Lebesgue spaces [PDF]
, 2011 Ramazan Akgün, Vakhtang Kokilashvili
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Convolution operators in matrix weighted, variable Lebesgue spaces
Analysis and ApplicationsWe extend the theory of matrix weights to the variable Lebesgue spaces. The theory of matrix [Formula: see text] weights has attracted considerable attention beginning with the work of Nazarov, Treil, and Volberg in the 1990s. We extend this theory by generalizing the matrix [Formula: see text] condition to the variable exponent setting.
Cruz-Uribe, David, Penrod, Michael
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Matrix transforms in weighted variable exponent Lebesgue spaces
, 2022 Summary: In this work, approximation properties of matrix transforms in the weighted variable exponent Lebesgue space of periodic functions are investigated.
Testici, Ahmet, Israfilov, Daniyal M.
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Solvability in weighted Lebesgue spaces of the divergence equation with measure data [PDF]
, 2021 Laurent Moonens, Emmanuel Russ
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Szász–Beta Operators Linking Frobenius–Euler–Simsek-Type Polynomials
AxiomsThis manuscript associates with a study of Frobenius–Euler–Simsek-type Polynomials. In this research work, we construct a new sequence of Szász–Beta type operators via Frobenius–Euler–Simsek-type Polynomials to discuss approximation properties for the ...
Nadeem Rao +2 more
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The Sneddon ℛ-Transform and Its Inverse over Lebesgue Spaces
AxiomsWe study the Sneddon R-transform and its inverse in the setting of Lebesgue spaces. Generated by the mixed trigonometric kernel xcos(xt)+hsin(xt), the R-transform acts as a unifying operator for sine- and cosine-type integral transforms.
Hari Mohan Srivastava +2 more
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