Maximal Functions in Sobolev Spaces
From MaRDI portal
Publication:3613578
DOI10.1007/978-0-387-85648-3_2zbMath1171.42005OpenAlexW76033763MaRDI QIDQ3613578
Publication date: 12 March 2009
Published in: Sobolev Spaces In Mathematics I (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-0-387-85648-3_2
Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)
Related Items
Sobolev regularity of occupation measures and paths, variability and compositions, Level set estimates for the discrete frequency function, Quantifying a convergence theorem of Gyöngy and Krylov, Variability of paths and differential equations with \(\mathrm{BV}\)-coefficients, The discrete maximal operator in metric spaces, Propagation of chaos for the 2D viscous vortex model, Uniqueness of weighted Sobolev spaces with weakly differentiable weights, Regularity and continuity of local multilinear maximal type operators
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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear potential theory on metric spaces
- Hölder type quasicontinuity
- Equivalence and self-improvement of \(p\)-fatness and Hardy's inequality, and association with uniform perfectness
- Lebesgue points and the fundamental convergence theorem for superharmonic functions on metric spaces
- Lipschitz functions on spaces of homogeneous type
- A decomposition into atoms of distributions on spaces of homogeneous type
- Quasiconformal maps in metric spaces with controlled geometry
- Hölder quasicontinuity of Sobolev functions on metric spaces
- The Hardy-Littlewood maximal function of a Sobolev function
- Hardy's inequalities for Sobolev functions
- Lebesgue points for Sobolev functions on metric spaces.
- Fat sets and pointwise boundary estimates for \(p\)-harmonic functions in metric spaces
- Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
- Boundedness of Hardy-Littlewood maximal operator in the framework of Lizorkin-Triebel spaces.
- A class of bounded operators on Sobolev spaces
- Sobolev spaces on an arbitrary metric space
- Sobolev spaces with zero boundary values on metric spaces
- Boundedness and unboundedness results for some maximal operators on functions of bounded variation
- The Poincaré inequality is an open ended condition
- Hölder quasicontinuity in variable exponent Sobolev spaces
- Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
- Hardy Inequalities
- Maximal functions measuring smoothness
- On the regularity of the Hardy-Littlewood maximal operator on subdomains of ℝn
- Continuity of the maximal operator in Sobolev spaces
- Functions of bounded variation, the derivative of the one dimensional maximal function, and applications to inequalities
- On Strong Barriers and an Inequality of Hardy for Domains in R n
- Uniformly Fat Sets
- Pointwise Hardy inequalities
- On very weak solutions of certain elliptic systems
- Hardy Inequalities and Imbeddings in Domains Generalizing C 0,λ Domains
- REGULARITY OF THE FRACTIONAL MAXIMAL FUNCTION
- Pointwise inequalities for Sobolev functions revisited
- On the domain and range of the maximal operator
- A remark on the derivative of the one-dimensional Hardy-Littlewood maximal function
- On Certain Convolution Inequalities
- Hardy’s inequality and the boundary size
- A new characterization of the Sobolev space
- Boundary Behaviour of Sobolev Mappings
- Semicontinuity problems in the calculus of variations
- Harmonic functions on metric spaces
- Fixed points of the Hardy-Littlewood maximal operator
