Tube Structures of Co-rank 1 with Forms Defined on Compact Surfaces

Hounie, Jorge; Zugliani, Giuliano

doi:10.1007/s12220-020-00365-7

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2022

2024

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Cited by 4 publications

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“…The questions addressed in this paper are related to those contained in papers: [1], [3], [4], [5], [6], [9], [10], [11], [12], [14], [15], [16], [17], [18], [19], [20], [23] and others.…”

Section: Introductionmentioning

confidence: 99%

A Lojasiewicz Inequality in Hypocomplex Structures of $\mathbb{R}^2$

Meziani¹

2022

Preprint

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For a real analytic complex vector field L, in an open set of R 2 , with local first integrals that are open maps, we attach a number µ ≥ 1 (obtained through Lojasiewicz inequalities) and show that the equation Lu = f has bounded solution when f ∈ L p with p > 1 + µ. We also establish a similarity principle between the bounded solutions of the equation Lu = Au + Bu (with A, B ∈ L p ) and holomorphic functions.

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“…The questions addressed in this paper are related to those contained in papers: [1], [3], [4], [5], [6], [9], [10], [11], [12], [14], [15], [16], [17], [18], [19], [20], [23] and others.…”

Section: Introductionmentioning

confidence: 99%