Results 71 to 80 of about 2,771 (142)

Parabolic Muckenhoupt weights in the Euclidean space

open access: yesJournal of Mathematical Analysis and Applications, 2011
The author introduces the parabolic analogue to Muckenhoupt's \(A_p\) weights. Given a cube \(Q=\prod_{i=1}^n [a_i, a_i+h]\) and \(r>0\), the author denotes by \[ Q^{+,r}= \prod_{i=1}^{n-1} \big[a_i,a_i+h\big]\times \big[a_n+rh,a_n+(r+1)h\big] \] the forward in time \(r\)-translation of the cube. Similarly, the backward \(r\)-translation is denoted by \
openaire   +1 more source

Removable sets for Sobolev spaces with Muckenhoupt $A_1$-weight

open access: yesSibirskie Elektronnye Matematicheskie Izvestiya, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

An extension of the Muckenhoupt–Wheeden theorem to generalized weighted Morrey spaces

open access: yesGeorgian Mathematical Journal, 2020
Abstract In this paper, we find the condition on a function ω and a weight v which ensures the equivalency of norms of the Riesz potential and the fractional maximal function in generalized weighted Morrey spaces
Mustafayev, R.   +1 more
openaire   +4 more sources

A note on $H^p_w$-boundedness of Riesz transforms and $\theta$-Calder\'on-Zygmund operators through molecular characterization

open access: yes, 2011
Let $0 < p \leq 1$ and $w$ in the Muckenhoupt class $A_1$. Recently, by using the weighted atomic decomposition and molecular characterization; Lee, Lin and Yang \cite{LLY} (J. Math. Anal. Appl. 301 (2005), 394--400) established that the Riesz transforms
Ky, Luong Dang
core  

Weyl's Law for the Steklov Problem on Surfaces with Rough Boundary. [PDF]

open access: yesArch Ration Mech Anal, 2023
Karpukhin M, Lagacé J, Polterovich I.
europepmc   +1 more source

Variable Muckenhoupt weights with applications in approximation

open access: yes, 2021
Variable Muckenhoupt weights are considered in variable exponent Lebesgue spaces. Applications are given for polynomial approximation in these spaces. Boundedness of averaging operator is proved to gain a transference result. Almost all weighted norm inequalities are obtained using this transference result.
openaire   +2 more sources

On a restriction problem of de Leeuw type for Laguerre multipliers

open access: yes, 1994
In 1965 K. de Leeuw \cite{deleeuw} proved among other things in the Fourier transform setting: {\it If a continuous function $m(\xi _1, \ldots ,\xi _n)$ on ${\bf R}^n$ generates a bounded transformation on $L^p({\bf R}^n),\; 1\le p \le \infty ,$ then its
Gasper Jr, George, Trebels, Walter
core   +1 more source

Local Muckenhoupt weights on Gaussian measure spaces

open access: yesJournal of Mathematical Analysis and Applications, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Songbai Wang, Haiyan Zhou, Peng Li
openaire   +2 more sources

A Caccioppoli-type estimate for very weak solutions to obstacle problems with weight

open access: yesJournal of Inequalities and Applications, 2011
This paper gives a Caccioppoli-type estimate for very weak solutions to obstacle problems of the A -harmonic equation div A ( x , ∇ u ) = 0 with | A ( x , ξ ) | ≈ w ( x ) | ξ | p - 1 , where 1 < p < ...
Hongya Gao, Jinjing Qiao
doaj  

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