Results 31 to 40 of about 145 (135)

Optimal factorization of Muckenhoupt weights [PDF]

Transactions of the American Mathematical Society, 2000
Peter Jones’ theorem on the factorization of A p A_p
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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, Shanzhen Lu, Yibiao Pan, Shaoguang Shi   +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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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, Natasha Samko, Stefan Samko   +2 more
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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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On Singular Integrals with Cauchy Kernel on Weight Subspaces: The Basicity Property of Sines and Cosines Systems in Weight Spaces

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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Self-improving properties of weighted Gehring classes with applications to partial differential equations

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, J. Alzabut, D. O’Regan, R. P. Agarwal   +3 more
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Boundedness of fractional integrals on weighted Herz spaces with variable exponent

Journal of Inequalities and Applications, 2016
Our aim is to prove the boundedness of fractional integral operators on weighted Herz spaces with variable exponent. Our method is based on the theory on Banach function spaces and the Muckenhoupt theory with variable exponent.
Mitsuo Izuki, Takahiro Noi
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Schrödinger Harmonic Functions with Morrey Traces on Dirichlet Metric Measure Spaces

Mathematics, 2022
Assume that (X,d,μ) is a metric measure space that satisfies a Q-doubling condition with Q>1 and supports an L2-Poincaré inequality. Let 𝓛 be a nonnegative operator generalized by a Dirichlet form E and V be a Muckenhoupt weight belonging to a reverse ...
Tianjun Shen, Bo Li
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