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- W2912791693 abstract "We study the Hölder solvability of a class of complex vector fields on the torus <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=double-struck upper T squared> <mml:semantics> <mml:msup> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mi mathvariant=double-struck>T</mml:mi> </mml:mrow> <mml:mn>2</mml:mn> </mml:msup> <mml:annotation encoding=application/x-tex>mathbb {T}^2</mml:annotation> </mml:semantics> </mml:math> </inline-formula>. We make use of the Theta function to associate a Cauchy-Pompeiu type integral operator. A similarity principle for the solutions of the equation <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper L u equals a u plus b u overbar> <mml:semantics> <mml:mrow> <mml:mi>L</mml:mi> <mml:mi>u</mml:mi> <mml:mo>=</mml:mo> <mml:mi>a</mml:mi> <mml:mi>u</mml:mi> <mml:mo>+</mml:mo> <mml:mi>b</mml:mi> <mml:mrow class=MJX-TeXAtom-ORD> <mml:mover> <mml:mi>u</mml:mi> <mml:mo stretchy=false>¯<!-- ¯ --></mml:mo> </mml:mover> </mml:mrow> </mml:mrow> <mml:annotation encoding=application/x-tex>Lu=au+bbar {u}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> is obtained." @default.
- W2912791693 created "2019-02-21" @default.
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- W2912791693 date "2019-06-10" @default.
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- W2912791693 title "Class of hypocomplex structures on the two-dimensional torus" @default.
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