Hardy Sobolev spaces on strongly Lipschitz domains of Rn

By P. Auscher, E. Russ, P. Tchamitchian. 2005

69 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/3769ad97382ce759e15086182fefa78d707d0cab

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Dachun Yang
2. Yuan Zhou
3. Xuan Thinh Duong
4. Lixin Yan
5. Pekka Koskela
6. D. Deng
7. Renjin Jiang
8. Adam S. Sikora

In Computational Theory and Mathematics

1. Yuan Zhou
2. Lixin Yan
3. Adam S. Sikora
4. Dachun Yang
5. Pekka Koskela
6. Xuan Thinh Duong
7. Kari ASTALA *
8. Lassi PÄIVÄRINTA #

Citations in the corpus

• COMPARISON OF THE CLASSICAL BMO WITH THE BMO SPACES ASSOCIATED WITH OPERATORS AND APPLICATIONS (2006, background): “8 of [6] and Proposition 32 of [4] that the dual space of H(1) e (R n +) is the space BMOr(R n +) and the dual space of H 1 o (R n +) is the space BMOz(R+) .”
• A characterization of Hajłasz–Sobolev and Triebel–Lizorkin spaces via grand Littlewood–Paley functions☆ (2009, background): “(ii) We point out that Auchser, Russ and Tchamitchian [3] characterized the HardySobolev space Ḟ 1 p, 2(R n) via a maximal function which is obtained by transferring the gradient on f to a size condition on the divergence of the vectors formed by certain test functions; see Theorem 6 of [3].”