Results 11 to 20 of about 201 (131)

Boundedness of Marcinkiewicz Integrals and Their Commutators on Generalized Weighted Morrey Spaces [PDF]

Journal of Function Spaces, 2015
We will study the boundedness of Marcinkiewicz integrals with rough kernel on the generalized weighted Morrey spaces. We will also prove that the commutator operators formed by a BMORn function and Marcinkiewicz integrals are also bounded on the ...
Runqing Cui, Zhang Li
doaj   +3 more sources

Generalized Marcinkiewicz Integral Operators Along Certain Surfaces

Mathematics
In this article, a class of rough generalized Marcinkiewicz operators is considered. Under the condition that the singular kernel belongs to the space Lq(Sn−1), the boundedness of these operators is confirmed from the space of homogeneous Triebel ...
Mohammed Ali
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Application of the Stampacchia lemma to anisotropic degenerate elliptic equations

Journal of Innovative Applied Mathematics and Computational Sciences, 2023
In this paper, we prove the existence and regularity of solutions for a class of nonlinear anisotropic degenerate elliptic equations with the data f belonging to certain Marcinkiewicz spaces Mm(Ω) with m > 1.
Hichem
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On rough generalized parametric Marcinkiewicz integrals [PDF]

Journal of Mathematical Inequalities, 2017
Summary: We obtain certain sharp \(L^p\) bounds for the generalized parametric Marcinkiewicz integrals \(\mathcal{M}_{\Omega,h,\rho}^{(\lambda)}\). The singular kernels are allowed to be rough on the unit sphere as well as in the radial direction. By the virtue of these estimates along with an extrapolation argument we obtain some new and improved ...
Al-Qassem, H., Cheng, L., Pan, Y.
openaire   +1 more source

Fulminant Myocarditis with SARS-CoV-2 Infection: A Narrative Review from the Case Studies. [PDF]

Can J Infect Dis Med Microbiol
One of the severe complications of the severe acute respiratory syndrome coronavirus 2 (SARS‐CoV‐2) infection is myocarditis. However, the characteristics of fulminant myocarditis with SARS‐CoV‐2 infection are still unclear. We systematically reviewed the previously reported cases of fulminant myocarditis associated with SARS‐CoV‐2 infection from ...
Ono R, Iwahana T, Aoki K, Kato H, Okada S, Kobayashi Y.   +5 more
europepmc   +2 more sources

The Marcinkiewicz–Zygmund LLN in Banach Spaces: A Generalized Martingale Approach [PDF]

Journal of Theoretical Probability, 2009
A result due to Gut asserts that theMarcinkiewicz–Zygmund strong law of large numbers for real-valued random variables is an amart a.s. convergence property. In this paper, a necessary and sufficient condition is given, under which that SLLN is also a quasimartingale. We also study the case of Banach-space valued r.v.
Hechner, Florian, Heinkel, Bernard
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Parameter θ-Type Marcinkiewicz Integral on Nonhomogeneous Weighted Generalized Morrey Spaces

Journal of Function Spaces, 2020
Let X,d,μ be a nonhomogeneous metric measure space satisfying the upper doubling and geometrically doubling conditions in the sense of Hytönen. In this setting, the author proves that parameter θ-type Marcinkiewicz integral Mθρ is bounded on the weighted
Guanghui Lu
doaj   +1 more source

Generalization of a theorem of Marcinkiewicz [PDF]

Pacific Journal of Mathematics, 1967
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generalizations of Fatou's and Marcinkiewicz's results [PDF]

Mathematical Inequalities & Applications, 2011
Two new criteria for almost everywhere, uniform, and L 1 -convergence of Fourier se- ries are established. The first one is a Tauberian result for (C,1) summability, which generalizes a result of Fatou. The second one is a norm analogue of Dini's test, which generalizes a re- sult of Marcinkiewicz.
openaire   +1 more source

Marcinkiewicz integrals associated with Schrödinger operator on generalized Morrey spaces [PDF]

Journal of Mathematical Inequalities, 2014
Let L = −Δ+V be aS chroperator, where Δ is the Laplacian on R n , while nonnegative potential V belongs to the reverse Holder class. In this paper, we study the bound- edness of the Marcinkiewicz operator associated with Schrodinger operator μ L on generalized Morrey spaces Mp,ϕ .W efind the sufficient conditions on the pair (ϕ1,ϕ2) which ensures the ...
Akbulut, Ali, Kuzu, Okan
openaire   +2 more sources