Results 21 to 30 of about 2,017,635 (118)

Almost everywhere convergence of Bochner–Riesz means on Heisenberg‐type groups

open access: yesJournal of the London Mathematical Society, Volume 103, Issue 3, Page 1066-1119, April 2021., 2021
Abstract We prove an almost everywhere convergence result for Bochner–Riesz means of Lp functions on Heisenberg‐type groups, yielding the existence of a p>2 for which convergence holds for means of arbitrarily small order. The proof hinges on a reduction of weighted L2 estimates for the maximal Bochner–Riesz operator to corresponding estimates for the ...
Adam D. Horwich, Alessio Martini
wiley   +1 more source

Boundedness of One-Sided Oscillatory Integral Operators on Weighted Lebesgue Spaces

open access: yesAbstract 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
doaj   +1 more source

Summation of Multiple Fourier Series in Matrix Weighted -Spaces

open access: yesJournal 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
doaj   +1 more source

On approximation properties of functions by means of Fourier and Faber series in weighted Lebesgue spaces with variable exponent [PDF]

open access: yesMathematica 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.
doaj  

The maximal operator in weighted variable spaces Lp(⋅)

open access: yesJournal 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
doaj   +1 more source

On Singular Integrals with Cauchy Kernel on Weight Subspaces: The Basicity Property of Sines and Cosines Systems in Weight Spaces

open access: yesInternational 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
doaj   +1 more source

Boundedness of fractional integrals on weighted Herz spaces with variable exponent

open access: yesJournal 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
doaj   +1 more source

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

open access: yesAdvances 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
doaj   +1 more source

Schrödinger Harmonic Functions with Morrey Traces on Dirichlet Metric Measure Spaces

open access: yesMathematics, 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
doaj   +1 more source

Improved Muckenhoupt-Wheeden inequality and weighted inequalities for potential operators [PDF]

open access: yes, 1995
By a variant of the standard good λ inequality, we prove the Muckenhoupt-Wheeden inequality for measures which are not necessarily in the Muckenhoupt class.
Rakotondratsimba, Y.   +1 more
core   +1 more source

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