Results 41 to 50 of about 2,771 (142)
Schrödinger Harmonic Functions with Morrey Traces on Dirichlet Metric Measure Spaces
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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Boundedness of fractional integrals on weighted Herz spaces with variable exponent
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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Marcinkiewicz Integrals on Weighted Weak Hardy Spaces
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
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On Muckenhoupt-Wheeden Conjecture
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
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A description of weights satisfying the 𝐴_{∞} condition of Muckenhoupt [PDF]
A nonnegative weight w w on R n {R^n} satisfies the A ∞ {A_\infty } condition iff \[ sup Q ∈ A (
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WEIGHTED BESOV AND TRIEBEL–LIZORKIN SPACES ASSOCIATED WITH OPERATORS AND APPLICATIONS
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
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On Schauder Bases Properties of Multiply Generated Gabor Systems
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
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Paraexponentials, Muckenhoupt weights, and resolvents of paraproducts [PDF]
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.
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Double Points Local Hardy-Littlewood Maximal Operator
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
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Entropy numbers of embeddings of function spaces with Muckenhoupt weights, III. Some limiting cases
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
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