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Rendiconti del Circolo Matematico di Palermo Series 2, 2020
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K. Ho
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
K. Ho
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Maximal Function Methods for Sobolev Spaces
Mathematical Surveys and Monographs, 2021| Inequalities (Mathematics) Harmonic analysis on Euclidean spaces – Harmonic analysis in several variables – Maximal functions, Littlewood-Paley theory. | Functional analysis – Linear function spaces and their duals – Sobolev spaces and other spaces of “
J. Kinnunen +2 more
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Regularity and continuity of commutators of the Hardy–Littlewood maximal function
Mathematische Nachrichten, 2020Let M be the Hardy–Littlewood maximal function and let [b,M] be its corresponding commutator.
Feng Liu, Qingying Xue, Pu Zhang
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Results in Mathematics, 2001
In the present paper, the authors study standard graded algebras over Artinian rings, for example, an associated graded ring of an \(\mathfrak m\)-primary ideal in a Noetherian local ring \((A, \mathfrak m)\). The Poincaré-Hilbert series of such a graded ring \(G\) is a formal power series \(P_G(t) = \sum_{n \geq 0} \ell(G_n) t^n\).
ROSSI, MARIA EVELINA +2 more
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In the present paper, the authors study standard graded algebras over Artinian rings, for example, an associated graded ring of an \(\mathfrak m\)-primary ideal in a Noetherian local ring \((A, \mathfrak m)\). The Poincaré-Hilbert series of such a graded ring \(G\) is a formal power series \(P_G(t) = \sum_{n \geq 0} \ell(G_n) t^n\).
ROSSI, MARIA EVELINA +2 more
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Sharp L2 estimates of the Schrödinger maximal function in higher dimensions
Annals of Mathematics, 2018We show that, for $n\geq 3$, $\lim_{t \to 0} e^{it\Delta}f(x) = f(x)$ holds almost everywhere for all $f \in H^s (\mathbb{R}^n)$ provided that $s>\frac{n}{2(n+1)}$.
Xiumin Du, Ruixiang Zhang
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Collectanea Mathematica, 2018
Let $${\mathcal {X}}$$X be a metric space with doubling measure and L be a non-negative self-adjoint operator on $$L^2({\mathcal {X}})$$L2(X) whose heat kernels satisfy the Gaussian upper bound estimates.
Sibei Yang, Dachun Yang
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Let $${\mathcal {X}}$$X be a metric space with doubling measure and L be a non-negative self-adjoint operator on $$L^2({\mathcal {X}})$$L2(X) whose heat kernels satisfy the Gaussian upper bound estimates.
Sibei Yang, Dachun Yang
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Spherical means on the Heisenberg group: Stability of a maximal function estimate
Journal d'Analyse Mathematique, 2018Consider the surface measure μ on a sphere in a nonvertical hyperplane on the Heisenberg group ℍn, n ≥ 2, and the convolution f * μ. Form the associated maximal function Mf = supt>0 ∣f * μt∣ generated by the automorphic dilations.
T. Anderson +3 more
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Rendiconti del Seminario Matematico e Fisico di Milano, 1979
We give a new, simpler, version of E. M. Stein’s theorem on the spherical maximal function, and offer a generalisation.
M. Cowling, MAUCERI, GIANCARLO
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We give a new, simpler, version of E. M. Stein’s theorem on the spherical maximal function, and offer a generalisation.
M. Cowling, MAUCERI, GIANCARLO
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A note on the Schrödinger maximal function
, 2016It is shown that control of the Schrödinger maximal function sup0
J. Bourgain
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Riesz Potential and Maximal Function for Dunkl transform
Potential Analysis, 2017We study weighted (Lp, Lq)-boundedness properties of Riesz potentials and fractional maximal functions for the Dunkl transform. In particular, we obtain the weighted Hardy–Littlewood–Sobolev type inequality and weighted week (L1, Lq) estimate.
D. Gorbachev, V. Ivanov, S. Tikhonov
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