Fractional type Marcinkiewicz integral operators associated to surfaces

DOI10.1186/1029-242X-2014-232zbMath1325.42017arXiv1305.6683OpenAlexW2131743313WikidataQ59395939 ScholiaQ59395939MaRDI QIDQ2258649

Kôzô Yabuta, Yoshihiro Sawano

Publication date: 26 February 2015

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.6683

zbMATH Keywords

Sobolev spaces\(L^p\)-boundednessTriebel-Lizorkin spacesfractional Marcinkiewicz integral operators

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractional derivatives and integrals (26A33) Integral operators (47G10)

Related Items

FRACTIONAL TYPE MARCINKIEWICZ INTEGRAL AND ITS COMMUTATOR ON NONHOMOGENEOUS SPACES ⋮ Fractional type Marcinkiewicz integrals over non-homogeneous metric measure spaces ⋮ Boundedness of commutators of fractional Marcinkiewicz integral under non-doubling measures ⋮ On singular integrals with rough kernels in Triebel-Lizorkin weighted spaces ⋮ Generalized Littlewood-Paley functions on product spaces ⋮ Non-smooth atomic decomposition of Triebel-Lizorkin-type spaces ⋮ On generalized Littlewood-Paley functions ⋮ Triebel-Lizorkin space boundedness of Marcinkiewicz integrals associated to surfaces ⋮ Atomic and wavelet characterization of Musielak-Orlicz Hardy spaces for generalized Orlicz functions ⋮ Triebel-Lizorkin space boundedness of rough singular integrals associated to surfaces

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