Optimal Lipschitz estimates for the $\overline{\partial }$ equation on a class of convex domains

Viêt Anh Nguyên; El Hassan Youssfi

Displaying similar documents to “Optimal Lipschitz estimates for the $\bar{\partial}$ equation on a class of convex domains”

On the extension of Lipschitz-Hölder maps on $L^{P}$ spaces

Lynn Williams, J. Wells, T. Hayden (1971)

Studia Mathematica

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On the theorem of Ivasev-Musatov. II

Thomas-William Korner (1978)

Annales de l'institut Fourier

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As in Part I [Annales de l’Inst. Fourier, 27-3 (1997), 97-113], our object is to construct a measure whose support has Lebesgue measure zero, but whose Fourier transform drops away extremely fast.

On the exterior Dirichlet problem for $Δ u - u + f (x, u) = 0$

Giovanna Citti (1992)

Rendiconti del Seminario Matematico della Università di Padova

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On the maximum modulus theorem for nonanalytic functions in several complex variables.

Mario O. González Rodríguez (1981)

Revista Matemática Hispanoamericana

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Let w = f(z, ..., z) = u(x, ..., y) + iv(x, ..., y) be a complex function of the n complex variables z, ..., z, defined in some open set A ⊂ C. The purpose of this note is to prove a maximum modulus theorem for a class of these functions, assuming neither the continuity of the first partial derivatives of u and v with respect to x and y, nor the conditions f = 0 in A for k = 1, 2, ..., n (the Cauchy-Riemann equations in complex form).

Hölder continuous functions on compact sets and functions spaces

Alf Jonsson (1980)

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A priori inequalities in $L^{\infty} (Ω)$ for solutions of elliptic equations in unbounded domains

Maurizio Chicco, Marina Venturino (1999)

Rendiconti del Seminario Matematico della Università di Padova

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Isomorphic classification and lifting theorems for spaces of differentiable functions with Lipschitz conditions

Frank Mantlik (1991)

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Nonconvolution transforms with oscillating kernels that map $Ḃ_{1}^{0, 1}$ into itself

G. Sampson (1993)

Studia Mathematica

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We consider operators of the form $(Ω f) (y) = ʃ_{- \infty}^{\infty} Ω (y, u) f (u) d u$ with Ω(y,u) = K(y,u)h(y-u), where K is a Calderón-Zygmund kernel and $h \in L^{\infty}$ (see (0.1) and (0.2)). We give necessary and sufficient conditions for such operators to map the Besov space $Ḃ_{1}^{0, 1}$ (= B) into itself. In particular, all operators with $h (y) = e^{{i | y |}^{a}}$ , a > 0, a ≠ 1, map B into itself.

Displaying similar documents to “Optimal Lipschitz estimates for the ∂ ¯ equation on a class of convex domains”

Displaying similar documents to “Optimal Lipschitz estimates for the $\bar{\partial}$ equation on a class of convex domains”