$H^\infty $ functional calculus for an elliptic operator on a half-space with general boundary conditions

Giovanni Dore; Alberto Venni

Displaying similar documents to “ $H^{\infty}$ functional calculus for an elliptic operator on a half-space with general boundary conditions”

A generalization of the problem of transmission

Martin Schechter (1960)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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On some singular integral operatorsclose to the Hilbert transform

T. Godoy, L. Saal, M. Urciuolo (1997)

Colloquium Mathematicae

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Let m: ℝ → ℝ be a function of bounded variation. We prove the $L^{p} (ℝ)$ -boundedness, 1 < p < ∞, of the one-dimensional integral operator defined by $T_{m} f (x) = p . v . \int k (x - y) m (x + y) f (y) d y$ where $k (x) = \sum_{j \in ℤ} 2^{j} φ_{j} (2^{j} x)$ for a family of functions ${φ_{j}}_{j \in ℤ}$ satisfying conditions (1.1)-(1.3) given below.

$L^{p}$ -Estimates for linear elliptic systems with discontinuous coefficients

Filippo Chiarenza, Michelangelo Franciosi, Michele Frasca (1994)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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In this Note we give $L^{p}$ estimates $(1 < p < + \infty)$ for the highest order derivatives of an elliptic system in non-divergence form with coefficients in VMO.

On invariant measures for power bounded positive operators

Ryotaro Sato (1996)

Studia Mathematica

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We give a counterexample showing that $\bar{(I - T *) L_{\infty}} \cap L_{\infty}^{+} = 0$ does not imply the existence of a strictly positive function u in $L_{1}$ with Tu = u, where T is a power bounded positive linear operator on $L_{1}$ of a σ-finite measure space. This settles a conjecture by Brunel, Horowitz, and Lin.

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.

Regularity results for non-linear elliptic systems in two dimensions

Jana Stará (1971)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Indirect approximation theorems in $L^{p}$ -metrics $(1 < p < \infty)$

R. Taberski (1979)

Banach Center Publications

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Displaying similar documents to “ H ∞ functional calculus for an elliptic operator on a half-space with general boundary conditions”

A generalization of the problem of transmission

On some singular integral operatorsclose to the Hilbert transform

L p -Estimates for linear elliptic systems with discontinuous coefficients

On invariant measures for power bounded positive operators

Nonconvolution transforms with oscillating kernels that map Ḃ 1 0 , 1 into itself

Regularity results for non-linear elliptic systems in two dimensions

Indirect approximation theorems in L p -metrics ( 1 < p < ∞ )

Displaying similar documents to “ $H^{\infty}$ functional calculus for an elliptic operator on a half-space with general boundary conditions”

$L^{p}$ -Estimates for linear elliptic systems with discontinuous coefficients

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

Indirect approximation theorems in $L^{p}$ -metrics $(1 < p < \infty)$