BOUNDEDNESS OF MARCINKIEWICZ INTEGRALS ON PRODUCT SPACES AND EXTRAPOLATION
نویسندگان
چکیده
منابع مشابه
Parabolic Marcinkiewicz integrals on product spaces
In this paper, we study the $L^p$ ($1
متن کاملRough Marcinkiewicz Integrals On Product Spaces
In this paper, we establish an Lp boundedness result of a class of Marcinkiewicz integral operators on product domains with rough kernels.
متن کاملparabolic marcinkiewicz integrals on product spaces
in this paper, we study the $l^p$ ($1
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Let A be a function with derivatives of order m and DγA∈ Λ̇β (0 < β < 1, |γ| =m). The authors in the paper proved that ifΩ∈ Ls(Sn−1) (s≥ n/(n−β)) is homogeneous of degree zero and satisfies a vanishing condition, then both the higher-order Marcinkiewicz-type integral μΩ and its variation μ̃ A Ω are bounded from L p(Rn) to Lq(Rn) and from L1(Rn) to Ln/(n−β),∞(Rn), where 1 < p < n/β and 1/q = 1/p− ...
متن کاملBoundedness of Marcinkiewicz integrals with rough kernels on Musielak-Orlicz Hardy spaces
Let [Formula: see text] satisfy that [Formula: see text], for any given [Formula: see text], is an Orlicz function and [Formula: see text] is a Muckenhoupt [Formula: see text] weight uniformly in [Formula: see text]. The Musielak-Orlicz Hardy space [Formula: see text] is defined to be the set of all tempered distributions such that their grand maximal functions belong to the Musielak-Orlicz spa...
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ژورنال
عنوان ژورنال: International Journal of Pure and Apllied Mathematics
سال: 2014
ISSN: 1311-8080,1314-3395
DOI: 10.12732/ijpam.v97i1.6