Results 31 to 40 of about 2,017,635 (118)
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
wiley +1 more source
The sharp A(p) constant for weights in a reverse-Holder class [PDF]
Coifman and Fefferman established that the class of Muckenhoupt weights is equivalent to the class of weights satisfying the "reverse Holder inequality". In a recent paper V.
Dindos, Martin; id_orcid, Wall, Treven
core
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
wiley +1 more source
Muckenhoupt Matrix Weights [PDF]
We study matrix weights defined on the multivariate torus Td. Sufficient conditions for a matrix weight to be in the Muckenhoupt A2-class are studied, and two such sufficiency results obtained by S.
Nielsen, Morten; id_orcid +1 more
core +1 more source
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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Superlinear perturbations of a double‐phase eigenvalue problem
Abstract We consider a perturbed version of an eigenvalue problem for the double‐phase operator. The perturbation is superlinear, but need not satisfy the Ambrosetti–Robinowitz condition. Working on the Sobolev–Orlicz space W01,η(Ω)$ W^{1,\eta }_{0}(\Omega)$ with η(z,t)=α(z)tp+tq$ \eta (z,t)=\alpha (z)t^{p}+t^{q}$ for 1
Yunru Bai +2 more
wiley +1 more source

