L(log L) spaces and weights for the strong maximal function
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Publication:1070153
DOI10.1007/BF02790188zbMath0583.42008MaRDI QIDQ1070153
Douglas S. Kurtz, Richard J. Bagby
Publication date: 1985
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
weight functionweighted integral inequalitiesHardy-Littlewood maximal functionMuckenhoupt classstrong maximal function
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Weighted little BMO and two-weight inequalities for Journé commutators ⋮ Tauberian conditions, Muckenhoupt weights, and differentiation properties of weighted bases ⋮ Weighted \(L^{q ( \cdot )}\)-estimates for the nonlinear parabolic equations with non-standard growth ⋮ Weighted Lorentz estimates for parabolic equations with non-standard growth on rough domains ⋮ The endpoint Fefferman-Stein inequality for the strong maximal function ⋮ The limiting weak-type behaviors of the strong maximal operators ⋮ Boundedness of classical operators on rearrangement-invariant spaces ⋮ On the boundedness of multilinear fractional strong maximal operators with multiple weights ⋮ The Fefferman-Stein type inequalities for the multilinear strong maximal functions ⋮ Global weighted Lorentz estimates for parabolic equations with measure via strong fractional maximal functions ⋮ Weighted Lorentz spaces: sharp mixed \(A_p - A_\infty\) estimate for maximal functions
Cites Work
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- A geometric proof of the strong maximal theorem
- Integral inequalities with weights for the Hardy maximal function
- The strong maximal function with respect to measures
- Littlewood-Paley and Multiplier Theorems on Weighted L p Spaces
- Weighted norm inequalities for maximal functions and singular integrals
- Weighted Norm Inequalities for the Hardy Maximal Function
- Weak type inequalities for product operators
- Note on the differentiability of multiple integrals
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