\(L^p\)-bounds for spherical maximal operators on \(\mathbb Z^n\)
From MaRDI portal
Publication:1382008
DOI10.4171/RMI/222zbMath0893.42011MaRDI QIDQ1382008
Publication date: 1 April 1998
Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/39542
Fourier transforms\(L^p\)-boundsdistribution of lattice points on small spherical capsspherical maximal operators
Estimates on exponential sums (11L07) Maximal functions, Littlewood-Paley theory (42B25) Lattice points in specified regions (11P21)
Related Items
Discrete maximal operators over surfaces of higher codimension ⋮ Restricted weak-type endpoint estimates for \(k\)-spherical maximal functions ⋮ Maximal function inequalities and a theorem of Birch ⋮ Lattice points problem, equidistribution and ergodic theorems for certain arithmetic spheres ⋮ Analysis and applications: The mathematical work of Elias Stein ⋮ Improved ℓp -Boundedness for Integral k -Spherical Maximal Functions ⋮ The discrete spherical maximal function: A new proof of ℓ²-boundedness ⋮ Maximal functions and ergodic averages related to Waring's problem ⋮ Sparse bounds for the discrete spherical maximal functions ⋮ Bounds for Lacunary maximal functions given by Birch–Magyar averages ⋮ Quantitative \(l^p\)-improving for discrete spherical averages along the primes ⋮ On the ergodic Waring-Goldbach problem ⋮ Bounds for discrete multilinear spherical maximal functions ⋮ The discrete spherical averages over a family of sparse sequences
