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The Walsh–Kaczmarz–Marcinkiewicz means and Hardy spaces
Acta Mathematica Hungarica, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nagy, K., Tephnadze, G.
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Nikishin’s theorem and factorization through Marcinkiewicz spaces
Proceedings of the American Mathematical SocietyConsider L 0 L^0 , the F F -space of all equivalence classes of measurable functions on a finite measure space equipped with the topology of convergence in measure. Inspired by Nikishin’s classical result on the factorization of sublinear continuous operators from a Banach space to L
Mastyło, Mieczysław +1 more
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Quotient spaces of Banach lattices and Marcinkiewicz spaces
Siberian Mathematical Journal, 1984Translation from Sib. Mat. Zh. 25, No.2(144), 205-212 (Russian) (1984; Zbl 0538.46016).
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Interpolation of bilinear operators in Marcinkiewicz spaces
Mathematical Notes, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Astashkin, S. V., Kim, Yu. E.
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Boundedness of parammetric Marcinkiewicz integrals on weighted hardy spaces
Applied Mathematics-A Journal of Chinese Universities, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shi, Xianliang, Sun, Jie
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Parametrized Marcinkiewicz Integrals on Herz Spaces with Variable Exponents
Complex Analysis and Operator Theory, 2023The parametrized Marcinkiewicz function \(\mu_{\Omega}^\rho(f)\) is defined by \[ \mu_{\Omega}^\rho(f)(x):=\left(\int_0^{\infty}\left|\frac{1}{t^\rho} \int_{|x-y| \leq t} \frac{\Omega(x-y)}{|x-y|^{n-\rho}} f(y) d y\right|^2 \frac{d t}{t}\right)^{\frac{1}{2}}\,, \] where \( \Omega \in L^1\left(\mathbb{S}^{n-1}\right) \) is homogeneous of degree zero in \
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Embeddings of Lorentz—Marcinkiewicz spaces with mixed norms
Analysis Mathematica, 1978Статья посвящена тео ремам вложения прост ранствX(Y) функций f со смешанно й нор-мой:X(Y)={f∈M(Ω×Ω): ∥f∥X(Y)=∥∥f(x,.)∥Y∥X< ∞. При этомΩ=(0, ∞), M (Ω×Ω) — кла сс функций, измеримых по Лебегу наΩ×Ω, аX, Y, Z—фун кциональные пространства Лоренц а или Марцинкевича. Ис следуются вложенияX(Y) в пространстваZ(Ω×Ω).
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Continuity for Multilinear Marcinkiewicz Operators on Certain Hardy Spaces
gmj, 2003Abstract In this paper, the continuity of multilinear Marcinkiewicz operators on certain Hardy and Herz–Hardy spaces is obtained.
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Integral operators of Marcinkiewicz type on Triebel–Lizorkin spaces
Mathematische Nachrichten, 2016A systematic treatment is given of several classes of parametric Marcinkiewicz integrals. The boundedness on Triebel–Lizorkin spaces will be presented for these operators with rough kernels in , which relates to the Grafakos–Stefanov class. Moreover, the boundedness on Besov spaces for above operators is also considered.
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