Results 21 to 30 of about 201 (131)
Strong laws for weighted sums of random variables satisfying generalized Rosenthal type inequalities
Journal of Inequalities and Applications, 2020 Let 1 ≤ p < 2 $1\le ...
Yanchun Yi, Pingyan Chen, Soo Hak Sung
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Open Mathematics, 2016 In this paper, the author introduces parabolic generalized local Morrey spaces and gets the boundedness of a large class of parabolic rough operators on them. The author also establishes the parabolic local Campanato space estimates for their commutators
Gurbuz Ferit
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On some properties of generalized Marcinkiewicz spaces [PDF]
Studia Mathematica, 2001 Let \((X_0,X_1)\) be a couple of interpolation of Banach spaces, and, for \(t>0\), and \(x\in X_0+X_1\): \[ K(t,x)= \inf\{\|x_0\|_{X_0}+t \|x_1\|_{X_1}, \;x=x_0+x_1\} . \] For any quasiconcave function \(\varphi: (0,\infty)\to (0,\infty)\), the generalized Marcinkiewicz space \(M_\varphi=M_\varphi(X_0,X_1)\) is the set of \(x\in X_0+X_1\) for which \[ \
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On Chung-Teicher Type Strong Law of Large Numbers for 𝜌∗-Mixing Random Variables
Discrete Dynamics in Nature and Society, 2008 In this paper the classical strong laws of large number of Kolmogorov, Chung, and Teicher for independent random variables were generalized on the case of 𝜌∗-mixing sequence. The main result was applied to obtain a Marcinkiewicz SLLN.
Anna Kuczmaszewska
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Boundedness of a Class of Sublinear Operators and Their Commutators on Generalized Morrey Spaces
Abstract and Applied Analysis, 2011 The authors study the boundedness for a large class of sublinear operator T generated by Calderón-Zygmund operator on generalized Morrey spaces Mp,φ.
Vagif S. Guliyev +2 more
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The Marcinkiewicz–Zygmund-Type Strong Law of Large Numbers with General Normalizing Sequences [PDF]
Journal of Theoretical Probability, 2019 Final version in Journal of Theoretical ...
Vu T. N. Anh +3 more
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Bayesian Inference for Multivariate Monotone Densities
Scandinavian Journal of Statistics, Volume 53, Issue 3, Page 1206-1229, September 2026.ABSTRACT We consider a nonparametric Bayesian approach to estimation and testing for a multivariate monotone density. Instead of following the conventional Bayesian approach of imposing a prior that satisfies the monotonicity restriction, we place a prior on the step heights via binning and a Dirichlet distribution. The resulting posterior distribution
Kang Wang, Subhashis Ghosal
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A Generalization for Fourier Transforms of a Theorem due to Marcinkiewicz
Journal of Mathematical Analysis and Applications, 2000 The author defines properly the Marcinkiewicz means of the Fourier transforms of tempered distributions and proves that its maximal operator is bounded from the Hardy-Lorentz space \(H_{p,q}({\mathbb{R}}^2)\) to the Lorentz space \(L_{p,q}({\mathbb{R}}^2)\) for all ...
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Mizohata–Takeuchi inequalities for orthonormal systems
Journal of the London Mathematical Society, Volume 114, Issue 2, August 2026.Abstract We establish some weighted L2$L^2$ inequalities for Fourier extension operators in the setting of orthonormal systems. In the process, we develop a direct approach to such inequalities based on generalized Wigner distributions, complementing the Schatten space approach that is prevalent in the wider context of estimates for such orthonormal ...
Jonathan Bennett +4 more
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Journal of Mathematical Study, 2023 Summary: This paper is devoted to exploring the mapping properties for the commutator \(\mu_{\Omega ,\vec{b}}\) generated by multilinear Marcinkiewicz integral operators \(\mu_\Omega\) with a locally integrable function \(\vec{b}= (b_1, \dots ,b_m)\) on the generalized Morrey spaces.
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