Results 11 to 20 of about 4,962 (192)
Boundedness of Generalized Parametric Marcinkiewicz Integrals Associated to Surfaces
In this article, the boundedness of the generalized parametric Marcinkiewicz integral operators M Ω , ϕ , h , ρ ( r ) is considered. Under the condition that Ω is a function in L q ( S n - 1 ) with q &
Mohammed Ali, Oqlah Al-Refai
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Dixmier measurability in Marcinkiewicz spaces and applications
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Sedaev, A. A., Sukochev, F. A.
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Unprecedented genetic variability of PFam54 paralogs among Eurasian Lyme borreliosis-causing spirochetes. [PDF]
Utilizing whole genome sequencing data for 141 Eurasian distributed Borrelia isolates, we show that the PFam54 gene array is highly variable among and within Borrelia species, including the absence of genes of known function during infection. Further analysis highlighted though that understudied paralogs most likely are important to completing the ...
Wülbern J +10 more
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Marcinkiewicz integrals on product spaces [PDF]
Let \(d \geq 2\) (\(d = n\) or \(d=m\)) and \(S^{d-1}\) be the unit sphere in \(\mathbb R^d\) equipped with the normalized Lebesgue measure \(d\sigma\). Suppose that \(\Omega\) is a homogeneous function of degree zero on \(\mathbb R^n\times \mathbb R\) that satisfies \(\Omega\in L(S^{n-1}\times S^{m-1})\) and \[ \int_{S^{n-1}}\Omega(x,y) d\sigma(x ...
Al-Qassem, H. +3 more
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Interpolation of nonlinear integral Urysohn operators in net spaces [PDF]
In this paper, we study the interpolation properties of the net spaces Np,q(M), in the case when M is a sufficiently general arbitrary system of measurable subsets from Rn. The integral Urysohn operator is considered.
A.H. Kalidolday, E.D. Nursultanov
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Application of the Stampacchia lemma to anisotropic degenerate elliptic equations
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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Fractional type Marcinkiewicz integral operators associated to surfaces [PDF]
In this paper, we discuss the boundedness of the fractional type Marcinkiewicz integral operators associated to surfaces, and extend a result given by Chen, Fan and Ying in 2002. They showed that under certain conditions the fractional type Marcinkiewicz
Sawano, Yoshihiro, Yabuta, Kôzô
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Interpolation of Marcinkiewicz spaces.
For each non-negative concave function \(\phi\) (t), the Marcinkiewicz space \(M_{\phi}\) consists of all measurable functions f such that \((\phi (t))^{-1}\int^{t}_{0}f^*(s)ds\leq C\) for all \(t>0\) and some constant C. Interpolation spaces with respect to couples \((M_{\phi_ 0},M_{\phi_ 1})\) of such spaces are considered.
Cwikel, Michael, Nilsson, Per
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In this article, we prove the boundedness of the parametric Marcinkiewicz integral and its higher-order commutators generated by BMO spaces on the variable Morrey-Herz space. All the results are new even when α· is a constant.
Omer Abdalrhman Omer +3 more
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One result on boundedness of the Hilbert transform in Marcinkiewics spaces
In mathematics and in signal theory, the Hilbert transform is an important linear operator that takes a real-valued function and produces another real-valued function.
Nurken Tursynbayuly Bekbayev +1 more
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