TWO-WEIGHT ESTIMATES FOR STRONG FRACTIONAL MAXIMAL FUNCTIONS AND POTENTIALS WITH MULTIPLE KERNELS

DOI10.4134/JKMS.2009.46.3.523zbMath1201.42013MaRDI QIDQ3559683

Vakhtang Kokilashvili, Alexander Meskhi

Publication date: 6 May 2010

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

zbMATH Keywords

trace inequalitytwo-weight inequalitypotentials with multiple kernelsstrong fractional maximal functions

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) Maximal functions, Littlewood-Paley theory (42B25) Fractional derivatives and integrals (26A33) Integral operators (47G10) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items (9)

The Fefferman-Stein type inequalities for strong fractional maximal operators ⋮ Off-diagonal extrapolation on mixed variable Lebesgue spaces and its applications to strong fractional maximal operators ⋮ Two-weight norm estimates for multilinear fractional integrals in classical Lebesgue spaces ⋮ Potential operators on cones of nonincreasing functions ⋮ Unnamed Item ⋮ Two-weight norm inequalities for product fractional integral operators ⋮ The n-linear embedding theorem for dyadic rectangles ⋮ Unnamed Item ⋮ A characterization of the two-weight inequality for Riesz potentials on cones of radially decreasing functions

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