Results 41 to 50 of about 145 (135)
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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A description of weights satisfying the 𝐴_{∞} condition of Muckenhoupt [PDF]
A nonnegative weight w w on
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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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Paraexponentials, Muckenhoupt weights, and resolvents of paraproducts [PDF]
We analyze the stability of Muckenhoupt’s R H
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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The scalar T1 theorem for pairs of doubling measures fails for Riesz transforms when p not 2
Abstract We show that for an individual Riesz transform in the setting of doubling measures, the scalar T1$T1$ theorem fails when p≠2$p \ne 2$: for each p∈(1,∞)∖{2}$ p \in (1, \infty) \setminus \lbrace 2\rbrace$, we construct a pair of doubling measures (σ,ω)$(\sigma, \omega)$ on R2$\mathbb {R}^2$ with doubling constant close to that of Lebesgue ...
Michel Alexis +3 more
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A stability result on Muckenhoupt’s weights
We prove that Muckenhoupt's A1-weights satisfy a reverse HÄolder inequality with an explicit and asymptotically sharp estimate for the exponent. As a by-product we get a new characterization of A1-weights.
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Operator‐Theoretic Probability Framework in Morrey Spaces With Applications to Option Price Dynamics
We develop a unified operator‐theoretic and probabilistic framework for a class of fractional and jump‐type evolution equations in the generalized Morrey spaces. The analysis is based on the semigroup theory and subordination principles which allow us for the treatment of nonlocal temporal dynamics and discontinuous effects.
Philip Ajibola Bankole +3 more
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We consider local generalized weighted Morrey spaces M{x0}p(⋅),ω,φ(Rn) with variable exponent p(x), φ is a weight and a general function ω(r) defining the Morrey-type norm.
C. Aykol +3 more
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