Hp Theory on a Smooth Domain in RN and Elliptic Boundary Value Problems

Chang, Der–Chen; Krantz, Steven G.; Stein, Elias M.

doi:10.1006/jfan.1993.1069

Cited by 139 publications

(167 citation statements)

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“…For a more general version we refer to Chang, Krantz and Stein's work in [CKS93] 1 . In order to make the paper self-contained, we decided to include the proof of the result below.…”

Section: Proof Of Theorem 13mentioning

confidence: 99%

Estimates for the energy density of critical points of a class of conformally invariant variational problems

Lamm

Lin

2013

Advances in Calculus of Variations

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“…For a more general version we refer to Chang, Krantz and Stein's work in [CKS93] 1 . In order to make the paper self-contained, we decided to include the proof of the result below.…”

Section: Proof Of Theorem 13mentioning

confidence: 99%

Estimates for the energy density of critical points of a class of conformally invariant variational problems

Lamm

Lin

2013

Advances in Calculus of Variations

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“…Although it is not immediate from this definition, for sufficiently regular domains, the Hardy space H 1 (Ω) consists of restrictions to Ω of functions in H 1 (R n ) [45], see also [9,43] for Lipschitz domains. Obviously, these are regular distributions; actually we have the inclusion…”

Section: Hardy-orlicz Spacesmentioning

confidence: 99%

“…There is quite an extensive literature concerning definitions of the Hardy spaces in a domain Ω ⊂ R n , [9,8,14,15,35,42,43,45]. Let us briefly outline the general concept of a maximal function of a distribution f ∈ D (Ω).…”

Section: Variants On Domains In R Nmentioning

confidence: 99%

On the Product of Functions in BMO and H^\text{1}

Bonami¹,

Iwaniec²,

Jones³

et al. 2007

Ann. inst. Fourier

108

124

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“…For the space H 1 z (X), we have the following characterization, whose proof is again inspired by [6].…”

Section: It Is Clear That Hmentioning

confidence: 99%

Maximal regularity and hardy spaces

Auscher

Zhao

2008

Collect. Math.

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In this work, we consider the Cauchy problem for u ′ − Au = f with A the Laplacian operator on some Riemannian manifolds or a sublapacian on some Lie groups or some second order elliptic operators on a domain. We show the boundedness of the operator of maximal regularity f → Au and its adjoint on appropriate Hardy spaces which we define and study for this purpose. As a consequence we reobtain the maximal L q regularity on L p spaces for 1 < p, q < ∞.

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Hp Theory on a Smooth Domain in RN and Elliptic Boundary Value Problems

Cited by 139 publications

References 0 publications

Estimates for the energy density of critical points of a class of conformally invariant variational problems

Estimates for the energy density of critical points of a class of conformally invariant variational problems

On the Product of Functions in BMO and H^\text{1}

Maximal regularity and hardy spaces

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