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Imbedding Inequalities for Composition of Green’s and Potential Operators

In: Topics in Mathematical Analysis and Applications

Author

Listed:
  • Shusen Ding

    (Seattle University)

  • Yuming Xing

    (Harbin Institute of Technology)

Abstract

In this paper, we prove both local and global imbedding inequalities with L φ $$L^{\varphi }$$ -norms for the composition of the potential operator and Green’s operator applied to differential forms.

Suggested Citation

  • Shusen Ding & Yuming Xing, 2014. "Imbedding Inequalities for Composition of Green’s and Potential Operators," Springer Optimization and Its Applications, in: Themistocles M. Rassias & László Tóth (ed.), Topics in Mathematical Analysis and Applications, edition 127, pages 327-341, Springer.
    • Handle: RePEc:spr:spochp:978-3-319-06554-0_13
    DOI: 10.1007/978-3-319-06554-0_13
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