Parabolic maximal functions associated with a distribution
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Publication:1221354
DOI10.1016/0001-8708(75)90099-7zbMath0315.46037OpenAlexW4212771366WikidataQ104759991 ScholiaQ104759991MaRDI QIDQ1221354
Alberto Torchinsky, Alberto P. Calderón
Publication date: 1975
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0001-8708(75)90099-7
Operations with distributions and generalized functions (46F10) Groups and semigroups of linear operators (47D03) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Other generalizations of function theory of one complex variable (32A30)
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Cites Work
- Unnamed Item
- Unnamed Item
- Some properties of fractional integrals. II
- A Tauberian theorem related to approximation theory
- Singular integrals and multiplier operators
- \(H^p\) spaces of several variables
- A Note on the Interpolation of Sublinear Operations
- Distribution function inequalities for the area integral
- Estimates for singular integral operators in terms of maximal functions
- A Maximal Function Characterization of the Class H p
- Singular integrals in the space Λ(B,X)