Results 61 to 70 of about 7,070 (191)

Sobolev and quasiconformal distortion of intermediate dimension with applications to conformal dimension

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract We study the distortion of intermediate dimension under supercritical Sobolev mappings and also under quasiconformal or quasisymmetric homeomorphisms. In particular, we extend to the setting of intermediate dimensions both the Gehring–Väisälä theorem on dilatation‐dependent quasiconformal distortion of dimension and Kovalev's theorem on the ...
Jonathan M. Fraser, Jeremy T. Tyson
wiley   +1 more source

Boundedness of Littlewood-Paley Operators Associated with Gauss Measures

Journal of Inequalities and Applications, 2010
Modeled on the Gauss measure, the authors introduce the locally doubling measure metric space (𝒳,d,μ)ρ, which means that the set 𝒳 is endowed with a metric d and a locally doubling regular Borel measure μ ...
Liguang Liu, Dachun Yang
doaj   +2 more sources

Two-weight norm inequalities on Morrey spaces

, 2014
A description of all the admissible weights similar to the Muckenhoupt class $A_p$ is an open problem for the weighted Morrey spaces. In this paper necessary condition and sufficient condition for two-weight norm inequalities on Morrey spaces to hold are
Tanaka, Hitoshi
core   +1 more source

Hardy–Littlewood maximal function of τ-measurable operators

Journal of Mathematical Analysis and Applications, 2006
The author considers the so called \(\tau\)-measurable operators in a Hilbert space. He introduces an analogue of the Hardy--Littlewood maximal function for a \(\tau\)-measurable operator and proves some kind of weak \((1,1)\)-type and \((p,p)\)-type estimates for this function.
openaire   +1 more source

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

Journal 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, José Luis Luna‐Garcia, Eric T. Sawyer, Ignacio Uriarte‐Tuero   +3 more
wiley   +1 more source

A note on maximal operator on ℓ{pn} and Lp(x)(ℝ)

Journal of Function Spaces and Applications, 2007
We consider a discrete analogue of Hardy-Littlewood maximal operator on the generalized Lebesque space ℓ{pn} of sequences defined on ℤ. It is known a necessary and sufficient condition P which guarantees an existence of a real number p>1 such that the ...
Aleš Nekvinda
doaj   +1 more source

Normalized solutions of the critical Schrödinger–Bopp–Podolsky system with logarithmic nonlinearity

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract In this paper, we study the following critical Schrödinger–Bopp–Podolsky system driven by the p$p$‐Laplace operator and a logarithmic nonlinearity: −Δpu+V(εx)|u|p−2u+κϕu=λ|u|p−2u+ϑ|u|p−2ulog|u|p+|u|p*−2uinR3,−Δϕ+a2Δ2ϕ=4π2u2inR3.$$\begin{equation*} {\begin{cases} -\Delta _p u+\mathcal {V}(\varepsilon x)|u|^{p-2}u+\kappa \phi u=\lambda |u|^{p-2 ...
Sihua Liang, Xueqi Sun, Shuaishuai Liang, Vicenţiu D. Rădulescu   +3 more
wiley   +1 more source

Moments of the Riemann zeta function at its local extrema

Mathematika, Volume 71, Issue 4, October 2025.
Abstract Conrey, Ghosh and Gonek studied the first moment of the derivative of the Riemann zeta function evaluated at the non‐trivial zeros of the zeta function, resolving a problem known as Shanks' conjecture. Conrey and Ghosh studied the second moment of the Riemann zeta function evaluated at its local extrema along the critical line to leading order.
Andrew Pearce‐Crump
wiley   +1 more source

Boundedness of Some Commutators in Total Fofana Spaces

European Journal of Mathematical Analysis
In this paper, we find necessary and sufficient conditions for the boundedness of the commutator of the Hardy-Littlewood maximal operator in total Fofana spaces.
Pokou Nagacy
doaj   +1 more source

Centered Hardy–Littlewood maximal operator on the real line: Lower bounds

Comptes Rendus. Mathématique, 2019
For 1<p<∞ and M the centered Hardy–Littlewood maximal operator on R, we consider whether there is some ε=ε(p)>0 such that ||Mf||p≥(1+ε)||f||p. We prove this for 1<p<2. For 2≤p<∞, we prove the inequality for indicator functions and for unimodal functions.
Ivanisvili, Paata, Zbarsky, Samuel
openaire   +3 more sources