A nonlinear partial differential equation and the unconditional constant of the Haar system in 𝐿^{𝑝}

DOI10.1090/S0273-0979-1982-15061-3zbMath0504.46022WikidataQ115282913 ScholiaQ115282913MaRDI QIDQ4741212

Donald L. Burkholder

Publication date: 1982

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

zbMATH Keywords

nonlinear partial differential equationmartingale difference sequenceunconditional constant of the Haar system

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) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Martingales and classical analysis (60G46) Solutions to PDEs in closed form (35C05)

Related Items (9)

Sharp estimates for Lipschitz class ⋮ A new class of unbalanced Haar wavelets that form an unconditional basis for \(L_ p\) on general measure spaces ⋮ A remark on the multipliers of the Haar basis of L¹[0,1] ⋮ The foundational inequalities of D. L. Burkholder and some of their ramifications ⋮ Some problems on narrow operators on function spaces ⋮ Unconditional basis recursively generated in \(L ^{p}\) on compact sets ⋮ On multipliers of Fourier series in the Haar system ⋮ Multipliers of double Fourier-Haar series ⋮ Multipliers of the Fourier-Haar series

Cites Work

• Unnamed Item
• Boundary value problems and sharp inequalities for martingale transforms
• A geometrical characterization of Banach spaces in which martingale difference sequences are unconditional
• Contributions to the theory of the classical Banach spaces
• Martingale Transforms
• Unconditional bases and martingales in L_P(F)
• A Remarkable Series of Orthogonal Functions (I)

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