Results 61 to 70 of about 940,591 (161)
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
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A remark on the centered $n$-dimensional Hardy-Littlewood maximal function [PDF]
, 2000 summary:We study the behaviour of the $n$-dimensional centered Hardy-Littlewood maximal operator associated to the family of cubes with sides parallel to the axes, improving the previously known lower bounds for the best constants $c_n$ that appear in ...
Aldaz, J. M. +1 more
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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 +3 more
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this paper, we investigate the dynamics of higher‐order solutions for a class of damped wave equations posed in Rn and driven by a nonlocal cubic convolution source of Hartree type. The model incorporates a higher order Laplacian of order σ, spatially dependent density functions, and frictional damping mechanisms.
Khaled Zennir +4 more
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A Hardy–Littlewood Maximal Operator for the Generalized Fourier Transform on $${\mathbb {R}}$$R
, 2020 International audienceIn this paper, we define and study a canonical Hardy–Littlewood-type maximal operator associated with the one-dimensional generalized Fourier transform.
Ben Saïd, Salem, Deleaval, Luc
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On the centered Hardy-Littlewood maximal operator
, 2002 We will study the centered Hardy-Littlewood maximal operator acting on positive linear combinations of Dirac deltas. We will use this to obtain improvements in both the lower and upper bounds or the best constant C in the L1 → weak L1 inequality for this
Melas, A.D.
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Wavelets‐Associated Approximation to the Family of New Class of q‐Szász Operators Via q‐Analog
Journal of Function Spaces, Volume 2026, Issue 1, 2026.This study investigates the approximation properties of a recently developed class of q‐Szász–Mirakjan operators integrated with wavelets. By constructing these q‐Szász‐type operators and introducing their Kantorovich variants, we establish Lp‐approximation results for 1 ≤ p ≤ ∞.
Md. Nasiruzzaman +4 more
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The boundedness of Fractional Hardy-Littlewood maximal operator on variable lp(Z) spaces using Calderon-Zygmund decomposition [PDF]
, 2022 In this paper, we prove strong type, weak type inequalities of Hardy-Littlewood maximal operator and fractional Hardy-Littlewood maximal operator on variable sequence spaces lp(Z).
Alphonse, A. Michael +1 more
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Boundedness of Hardy‐Type Operators on Grand Weighted Herz–Morrey Spaces
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In this paper, we establish the boundedness of the higher‐dimensional Hardy operator and its adjoint operator on grand weighted Herz–Morrey spaces. As corollaries, we also obtain their boundedness on grand weighted Herz spaces.
Xiaoxi Xia +2 more
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L(\u27(P,Q)) INEQUALITIES FOR THE HARDY-LITTLEWOOD MAXIMAL FUNCTIONS AND THE HARDY OPERATOR
, 1983 In this thesis, we prove necessary and sufficient conditions for Lorentz norm inequalities involving various types of Hardy-Littlewood Maximal functions and the Hardy ...
GANAPATHY, JAYANTHI
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