Weighted \(L_ p\)-estimates for singular integrals with anisotropic kernels

DOI10.1007/BF01387726zbMath0616.47027OpenAlexW2057559068MaRDI QIDQ1821340

I. M. Rokhman, Vsevolod A. Solonnikov

Publication date: 1987

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01387726

zbMATH Keywords

parabolic equationsweighted norm inequalitiespotentialsanisotropic kernelgeneralized Muckenhoupt condition

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Linear operators on function spaces (general) (47B38) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Cites Work

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• 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.)
• Weighted norm inequalities for maximal functions and singular integrals
• Weighted Norm Inequalities for the Hardy Maximal Function
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform
• Weighted norm inequalities for the Hardy-Little-wood maximal function for one parameter rectangles