Convolution estimates related to surfaces of half the ambient dimension

DOI10.1017/S0305004100070201zbMath0739.42011OpenAlexW2133617830MaRDI QIDQ3977023

Kanghui Guo, Stephen W. Drury

Publication date: 25 June 1992

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100070201

zbMATH Keywords

curvaturesurface measureconvolution inequalityconvolution estimatesexotic Riesz potential

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20)

Related Items (12)

The type set for some measures on $$\mathbb{R}^{2n} $$ with n-dimensional support ⋮ The \(L^{p} \rightarrow L^{q}\) estimates for degenerate Radon transforms in \(\mathbb{C}^2\) ⋮ Convolution estimates related to space curves ⋮ Uniform convolution estimates for complex polynomial curves in \(\mathbb{C}^3\) ⋮ Convolution estimates for measures on some complex curves ⋮ \( L^{ p(\cdot )} - L^{q(\cdot )}\) estimates for convolution operators with singular measures supported on surfaces of half the ambient dimension ⋮ A decay estimate for the Fourier transform of certain singular measures in \(\mathbb{R}^4\) and applications ⋮ Trasformate di Radon e operatori di convoluzione su gruppi e algebre di Lie ⋮ Convolution estimates and model surfaces of low codimension ⋮ Uniform estimates for damped Radon transform on the plane ⋮ Some convolution inequalities and their applications ⋮ Generalized curvature for certain Radon-like operators of intermediate dimension

Cites Work

• On the Restriction of The Fourier Transform to Curves: Endpoint Results and The Degenerate Case
• Convolution Estimates for Some Measures on Curves

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