The Multilinear Littlewood–Paley Operators with Minimal Regularity Conditions
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DOI: 10.1007/s00041-018-9613-7
Abstract: We investigate the quantitative weighted estimates for a large class of the multilinear Littlewood–Paley square operators. Our kernels satisfy the minimal regularity assumption, called $$L^r$$Lr-Hörmander condition. We respectively establish the pointwise sparse domination for the… read more here.
Keywords: minimal regularity; littlewood paley; multilinear littlewood; paley operators ... See more keywords
Weak and Strong Type Estimates for the Multilinear Littlewood–Paley Operators
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DOI: 10.1007/s00041-021-09870-x
Abstract: Let $S_{\alpha}$ be the multilinear square function defined on the cone with aperture $\alpha \geq 1$. In this paper, we investigate several kinds of weighted norm inequalities for $S_{\alpha}$. We first obtain a sharp weighted… read more here.
Keywords: weak strong; strong type; type estimates; littlewood paley ... See more keywords
Discrete Littlewood-Paley-Stein Characterization and L2 Atomic Decomposition of Local Hardy Spaces
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DOI: 10.1007/s10114-019-8532-0
Abstract: Usually, the condition that T is bounded on L2(ℝn) is assumed to prove the boundedness of an operator T on a Hardy space. With this assumption, one only needs to prove the uniformly boundness of… read more here.
Keywords: littlewood paley; discrete littlewood; hardy spaces; local hardy ... See more keywords
Littlewood–Paley–Rubio De Francia Inequality for the Two-Parameter Walsh System
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DOI: 10.1007/s10958-022-05785-0
Abstract: X iv :2 10 2. 06 97 0v 2 [ m at h. FA ] 1 S ep 2 02 1 Littlewood–Paley–Rubio de Francia Inequality for the Two-parameter Walsh System Viacheslav Borovitskiy ∗ St. Petersburg… read more here.
Keywords: littlewood paley; paley rubio; rubio francia; francia inequality ... See more keywords
Parametrized Littlewood–Paley Operators on Herz-Type Hardy Spaces with Variable Exponent
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DOI: 10.1007/s40840-020-00913-y
Abstract: In this paper, the authors establish the boundedness of parametrized Littlewood–Paley area integral and $$g^*_\lambda $$ -function, and their high-order commutators on Herz-type Hardy spaces with variable exponent. These results are also new even for… read more here.
Keywords: spaces variable; parametrized littlewood; herz type; hardy spaces ... See more keywords
Generalized Homogeneous Littlewood–Paley g-Function on Some Function Spaces
Sign Up to like & getrecommendations! Published in 2020 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-020-00934-7
Abstract: Let $$({{\mathcal {X}}},d,\mu )$$ ( X , d , μ ) be a non-homogeneous metric measure space satisfying the so-called upper doubling and the geometrically doubling conditions in the sense of Hytönen. Under the assumption… read more here.
Keywords: homogeneous littlewood; function; generalized homogeneous; littlewood paley ... See more keywords
Littlewood–Paley decomposition in quantum calculus
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DOI: 10.1080/00036811.2018.1555321
Abstract: ABSTRACT We introduce Littlewood–Paley decomposition related to q-Rubin's operator, this allows us to provide a dyadic characterization of Sobolev, Hölder and Lebesgue spaces associated with the q-Rubin's operators and to establish some embedding results for… read more here.
Keywords: paley decomposition; littlewood paley; decomposition quantum;
The Littlewood-Paley $ pth $-order moments in three-dimensional MHD turbulence
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DOI: 10.3934/dcds.2020397
Abstract: In this paper, we consider the Littlewood-Paley \begin{document}$ p $\end{document} th-order ( \begin{document}$ 1\le p ) moments of the three-dimensional MHD periodic equations, which are defined by the infinite-time and space average of \begin{document}$ L^p… read more here.
Keywords: begin document; moments three; end document; document ... See more keywords