On certain estimates for Marcinkiewicz integrals and extrapolation
From MaRDI portal
Publication:1027128
DOI10.1007/BF03191206zbMath1170.42005OpenAlexW2058581251MaRDI QIDQ1027128
Hussain M. Al-Qassem, Pan, Yibiao
Publication date: 30 June 2009
Published in: Collectanea Mathematica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/43638
Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Multipliers for harmonic analysis in several variables (42B15)
Related Items
A note on Marcinkiewicz integrals supported by submanifolds ⋮ Boundedness of a class of rough maximal functions ⋮ Parabolic Marcinkiewicz integrals on product spaces and extrapolation ⋮ BOUNDS FOR NONISOTROPIC MARCINKIEWICZ INTEGRALS ASSOCIATED TO SURFACES ⋮ \(L^p\) bounds for Marcinkiewicz integrals associated to homogeneous mappings ⋮ On the boundedness of rough oscillatory singular integrals on Triebel-Lizorkin spaces ⋮ Generalized Littlewood-Paley functions on product spaces ⋮ Unnamed Item ⋮ Inequalities for generalized parametric Marcinkiewicz integrals along polynomial compound curves ⋮ Integral operators of Marcinkiewicz type on Triebel-Lizorkin spaces ⋮ On singular integrals and maximal operators along surfaces of revolution on product domains ⋮ Unnamed Item ⋮ On Marcinkiewicz integrals associated to compound mappings with rough kernels ⋮ WEIGHTED ESTIMATES FOR CERTAIN ROUGH OPERATORS WITH APPLICATIONS TO VECTOR VALUED INEQUALITIES ⋮ Rough maximal functions supported by subvarieties on Triebel-Lizorkin spaces ⋮ A NOTE ON MARCINKIEWICZ INTEGRALS ASSOCIATED TO SURFACES OF REVOLUTION ⋮ Marcinkiewicz integrals with rough kernels in \(H^1(S^{n-1})\) ⋮ On generalized Littlewood-Paley functions ⋮ On the boundedness of a certain class of maximal functions on product spaces and extrapolation ⋮ Triebel-Lizorkin space boundedness of Marcinkiewicz integrals associated to surfaces ⋮ On the \(L^2\) boundedness for the multiple Littlewood-Paley functions with rough kernels ⋮ Parabolic maximal operators along surfaces of revolution with rough kernels ⋮ A note on Marcinkiewicz integrals along submanifolds of finite type ⋮ Nonlinear operators in fixed point theory with applications to fractional differential and integral equations ⋮ Weighted estimates for Marcinkiewicz integrals with applications to angular integrability ⋮ Unnamed Item ⋮ Boundedness and continuity of maximal operators associated to polynomial compound curves on Triebel-Lizorkin spaces ⋮ On rough singular integrals along real-analytic submanifolds ⋮ Convergence of truncated rough singular integrals supported by subvarieties on Triebel-Lizorkin spaces ⋮ Generalized parabolic Marcinkiewicz integrals associated with polynomial compound curves with rough kernels ⋮ \(L^p\) estimates for maximal functions along surfaces of revolution on product spaces ⋮ \(L^p\) estimates for Marcinkiewicz integral operators and extrapolation
Cites Work
- Estimates for translation invariant operators in \(L^p\) spaces
- A note on certain block spaces on the unit sphere
- Maximal and singular integral operators via Fourier transform estimates
- \(L^p\)-estimates for singular integrals with kernels belonging to certain block spaces.
- On the \(L^ p\) boundedness of Marcinkiewicz integrals.
- A note on Marcinkiewicz integral operators.
- \(L^p\) bounds for the function of Marcinkiewicz.
- Notes on Fourier analysis. XXIX. An extrapolation theorem
- Block Spaces on the Unit Sphere in R n
- Singular Integrals with Rough Kernels in L log L (S n −1 )
- On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
- Estimates for singular integrals and extrapolation
- Extensions of Hardy spaces and their use in analysis
- Singular integral operators with rough kernels supported by subvarieties
- A problem on rough parametric Marcinkiewicz functions
- On the function of Marcinkiewicz
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item