Results 31 to 40 of about 2,017,635 (118)

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

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

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

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

The scalar T1 theorem for pairs of doubling measures fails for Riesz transforms when p not 2

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
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]

open access: yes, 2009
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

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
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]

open access: yes, 2021
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

Weighted Hardy operators in the local generalized variable exponent weighted Morrey spaces and applications to differential operators

open access: yesPartial Differential Equations in Applied Mathematics
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
doaj   +1 more source

Superlinear perturbations of a double‐phase eigenvalue problem

open access: yesTransactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
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

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