Maximal operators and differentiation theorems for sparse sets
From MaRDI portal
Publication:551218
DOI10.1215/00127094-1345644zbMath1242.42011arXiv0906.0112OpenAlexW3100424958MaRDI QIDQ551218
Malabika Pramanik, Izabella Łaba
Publication date: 14 July 2011
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0906.0112
Maximal functions, Littlewood-Paley theory (42B25) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Hausdorff and packing measures (28A78) Functions of one variable (26A99)
Related Items (12)
New bounds on Cantor maximal operators ⋮ Maximal operators for cube skeletons ⋮ On some properties of sparse sets: a survey ⋮ Small unions of affine subspaces and skeletons via Baire category ⋮ Some Problems on the Boundary of Fractal Geometry and Additive Combinatorics ⋮ Small Union with Large Set of Centers ⋮ Spatially independent martingales, intersections, and applications ⋮ Squares and their centers ⋮ Maximal operators and decoupling for Λ(p) Cantor measures ⋮ On the Restriction of Laplace–Beltrami Eigenfunctions and Cantor-Type Sets ⋮ Efficient congruencing in ellipsephic sets: the general case ⋮ Efficient congruencing in ellipsephic sets: the quadratic case
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Averages of functions over hypersurfaces in \(\mathbb R^n\)
- Averages in the plane over convex curves and maximal operators
- Arithmetic progressions in sets of fractional dimension
- Maximal and singular integral operators via Fourier transform estimates
- Maximal functions and Fourier transforms
- Hilbert integrals, singular integrals, and Radon transforms. I
- Hilbert integrals, singular integrals, and Radon transforms. II
- Averages over hypersurfaces. II
- Differentiation of integrals in \(\mathbb{R}^n\)
- Maximal averages over surfaces
- On a theorem of Kaufman: Cantor-type construction of linear fractal Salem sets
- Random recursive construction of Salem sets
- Singular and maximal Radon transforms: Analysis and geometry
- A geometric proof of the circular maximal theorem
- The primes contain arbitrarily long arithmetic progressions
- The ergodic theorem
- On singular monotonic functions whose spectrum has a given Hausdorff dimension
- The Realization of small Distances in Plane Sets of Positive Measure
- On the theorem of Jarník and Besicovitch
- Maximal functions: Spherical means
- Differentiation in lacunary directions
- Problems in harmonic analysis related to curvature
- On X-ray transforms for rigid line complexes and integrals over curves in $\mathbb {R}^4$
- Averages Over Convex Hypersurfaces
- A Note on End-Sets
- Arithmetic progressions in sumsets
- Salem sets and restriction properties of Fourier transforms
- Graph colouring and the probabilistic method
- A new proof of Szemerédi's theorem
This page was built for publication: Maximal operators and differentiation theorems for sparse sets
