Parabolic singular integrals and uniformly rectifiable sets in the parabolic sense

DOI10.1007/s12220-011-9277-xzbMath1273.42014OpenAlexW2129425614MaRDI QIDQ363201

Jorge Rivera-Noriega

Publication date: 2 September 2013

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-011-9277-x

zbMATH Keywords

parabolic singular integralparabolic uniform rectifiability

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Integration on manifolds; measures on manifolds (58C35)

Related Items

Coronizations and big pieces in metric spaces, Corona decompositions for parabolic uniformly rectifiable sets, On big pieces approximations of parabolic hypersurfaces

Cites Work

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• Caloric measure in parabolic flat domains
• A boundedness criterion for generalized Calderón-Zygmund operators
• Parabolic maximal functions associated with a distribution
• Harmonic measure on locally flat domains
• Parabolic singular integrals of Calderón-type, rough operators, and caloric layer potentials
• A parabolic version of corona decompositions
• Principal values for Riesz transforms and rectifiability
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• \(L^ 2\) solvability and representation by caloric layer potentials in time-varying domains
• Uniform rectifiability, Calderón-Zygmund operators with odd kernel, and quasiorthogonality
• Singular integrals with mixed homogeneity