Results 31 to 40 of about 2,771 (142)
Optimal factorization of Muckenhoupt weights [PDF]
Transactions of the American Mathematical Society, 2000 Peter Jones’ theorem on the factorization of A p A_p weights is sharpened for weights with bounds near 1 1 , allowing the factorization to be performed continuously near the limiting, unweighted case. When 1 > p > ∞ 1>p>\infty and
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Boundedness of Fractional Integral Operators on Hardy‐Amalgam Spaces
Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021 We establish the boundedness of the fractional integral operators on the Hardy‐amalgam spaces.
Ka Luen Cheung +3 more
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Boundedness of One-Sided Oscillatory Integral Operators on Weighted Lebesgue Spaces
Abstract and Applied Analysis, 2014 We consider one-sided weight classes of Muckenhoupt type, but larger than the classical Muckenhoupt classes, and study the boundedness of one-sided oscillatory integral operators on weighted Lebesgue spaces using interpolation of operators with change of
Zunwei Fu +3 more
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Summation of Multiple Fourier Series in Matrix Weighted -Spaces
Journal of Mathematics, 2013 This paper is concerned with rectangular summation of multiple Fourier series in matrix weighted -spaces. We introduce a product Muckenhoupt condition for matrix weights and prove that rectangular Fourier partial sums converge in the corresponding ...
Morten Nielsen
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On approximation properties of functions by means of Fourier and Faber series in weighted Lebesgue spaces with variable exponent [PDF]
Mathematica Moravica, 2023 In this paper the approximation of functions by linear means of Fourier series in weighted variable exponent Lebesgue spaces was studied. This result was applied to the approximation of the functions by linear means of Faber series in Smirnov classes ...
Jafarov Sadulla Z.
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On the extension of Muckenhoupt weights in metric spaces
Nonlinear Analysis, 2022 A theorem by Wolff states that weights defined on a measurable subset of $\mathbb{R}^n$ and satisfying a Muckenhoupt-type condition can be extended into the whole space as Muckenhoupt weights of the same class. We give a complete and self-contained proof of this theorem generalized into metric measure spaces supporting a doubling measure.
Kurki, Emma Karoliina, Mudarra, Carlos
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The maximal operator in weighted variable spaces Lp(⋅)
Journal of Function Spaces and Applications, 2007 We study the boundedness of the maximal operator in the weighted spaces Lp(⋅)(ρ) over a bounded open set Ω in the Euclidean space ℝn or a Carleson curve Γ in a complex plane.
Vakhtang Kokilashvili +2 more
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Advances in Difference Equations, 2021 In this paper, we prove that the self-improving property of the weighted Gehring class G λ p $G_{\lambda }^{p}$ with a weight λ holds in the non-homogeneous spaces.
S. H. Saker +3 more
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The multilinear strong maximal function [PDF]
, 2010 A multivariable version of the strong maximal function is introduced and a sharp distributional estimate for this operator in the spirit of the Jessen, Marcinkiewicz, and Zygmund theorem is obtained.
Grafakos, Loukas +3 more
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International Journal of Mathematics and Mathematical Sciences, 2011 A singular operator with Cauchy kernel on the subspaces of weight Lebesgue space is considered. A sufficient condition for a bounded action of this operator from a subspace to another subspace of weight Lebesgue space of functions is found.
Tofig Isa Najafov, Saeed Farahani
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