Block Spaces on the Unit Sphere in R n

DOI10.2307/2159928zbMath0794.42012OpenAlexW2026774579MaRDI QIDQ3142842

Masahiro Keitoku, Enji Sato

Publication date: 2 January 1994

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2159928

zbMATH Keywords

block spaces\(L\log L\)\(L^ q\) spaces

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20)

Related Items (25)

MAXIMAL FUNCTIONS ALONG TWISTED SURFACES ON PRODUCT DOMAINS ⋮ On the boundedness of rough oscillatory singular integrals on Triebel-Lizorkin spaces ⋮ A note on certain block spaces on the unit sphere ⋮ Generalized Littlewood-Paley functions on product spaces ⋮ \(L^p\)-estimates for singular integrals with kernels belonging to certain block spaces. ⋮ A note on singular oscillatory integrals with certain rational phases ⋮ A note on Marcinkiewicz integral operators. ⋮ A note on the generalized Marcinkiewicz integral operators with rough kernels ⋮ Applications of some block spaces to singular integrals ⋮ On parametric Marcinkiewicz integrals related to block spaces ⋮ A unifying approach for certain class of maximal functions ⋮ A rough multiple Marcinkiewicz integral along continuous surfaces ⋮ On generalized Littlewood-Paley functions ⋮ \(L^p\) estimates for rough singular integrals associated to some hypersurfaces ⋮ Singular integrals along surfaces on product domains ⋮ Rough oscillatory singular integral operators of nonconvolution type ⋮ A class of multilinear oscillatory singular integrals related to block spaces ⋮ On weighted inequalities for parametric Marcinkiewicz integrals ⋮ \(L^p\) boundedness for parabolic Littlewood-Paley operators with rough kernels belonging to block spaces ⋮ Singular integral operators on product domains along twisted surfaces ⋮ L^p (ℝ ⁿ ) boundedness for higher commutators of singular integrals with rough kernels belonging to certain block spaces ⋮ On certain estimates for Marcinkiewicz integrals and extrapolation ⋮ A weighted norm inequality for rough singular integrals ⋮ Boundedness for a class of fractional integrals with a rough kernel related to block spaces ⋮ \(L^p\) estimates for Marcinkiewicz integral operators and extrapolation

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