Results 41 to 50 of about 2,771 (142)

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

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

Marcinkiewicz Integrals on Weighted Weak Hardy Spaces

open access: yesJournal of Function Spaces, 2014
We prove that, under the condition Ω∈Lipα, Marcinkiewicz integral μΩ is bounded from weighted weak Hardy space WHwpRn to weighted weak Lebesgue space WLwpRn for maxn/n+1/2,n/n ...
Yue Hu, Yueshan Wang
doaj   +1 more source

On Muckenhoupt-Wheeden Conjecture

open access: yes, 2010
Let M denote the dyadic Maximal Function. We show that there is a weight w, and Haar multiplier T for which the following weak-type inequality fails: $$ \sup_{t>0}t w\left\{x\in\mathbb R \mid |Tf(x)|>t\right\}\le C \int_{\mathbb R}|f|Mw(x)dx.
Reguera, Maria Carmen
core   +1 more source

A description of weights satisfying the 𝐴_{∞} condition of Muckenhoupt [PDF]

open access: yesProceedings of the American Mathematical Society, 1984
A nonnegative weight w w on R n {R^n} satisfies the A ∞ {A_\infty } condition iff \[ sup Q ∈ A (
openaire   +1 more source

WEIGHTED BESOV AND TRIEBEL–LIZORKIN SPACES ASSOCIATED WITH OPERATORS AND APPLICATIONS

open access: yesForum of Mathematics, Sigma, 2020
Let $X$ be a space of homogeneous type and $L$ be a nonnegative self-adjoint operator on $L^{2}(X)$ satisfying Gaussian upper bounds on its heat kernels.
HUY-QUI BUI   +2 more
doaj   +1 more source

On Schauder Bases Properties of Multiply Generated Gabor Systems

open access: yes, 2015
Let $A$ be a finite subset of $L^2(\mathbb{R})$ and $p,q\in\mathbb{N}$. We characterize the Schauder basis properties in $L^2(\mathbb{R})$ of the Gabor system $$G(1,p/q,A)=\{e^{2\pi i m x}g(x-np/q) : m,n\in \mathbb{Z}, g\in A\},$$ with a specific ...
Nielsen, Morten
core   +1 more source

Paraexponentials, Muckenhoupt weights, and resolvents of paraproducts [PDF]

open access: yesProceedings of the American Mathematical Society, 1998
We analyze the stability of Muckenhoupt’s R H p d \mathbf {RH}_{\mathbf {p}}^{\mathbf {d}} and A P d
Pereyra, María C., Ward, Lesley A.
openaire   +3 more sources

Double Points Local Hardy-Littlewood Maximal Operator

open access: yesAbstract and Applied Analysis, 2013
A double points local Hardy-Littlewood maximal operator Ma,b,k,loc is defined and investigated in Euclidean spaces. It is proved that Ma,b,k,loc is bounded on Lpw when p>1 and from L1w to L1,∞w with weight function w∈Aa,b,k,loc, the class of double ...
Futao Song, Na Ju
doaj   +1 more source

Entropy numbers of embeddings of function spaces with Muckenhoupt weights, III. Some limiting cases

open access: yesJournal of Function Spaces and Applications, 2011
We study compact embeddings for weighted spaces of Besov and Triebel-Lizorkin type where the weight belongs to some Muckenhoupt Ap class. This extends our previous results [25] to more general weights of logarithmically disturbed polynomial growth, both ...
Dorothee D. Haroske, Leszek Skrzypczak
doaj   +1 more source

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