IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2014y2014i1n596704.html

Recent Advances in Lp‐Theory of Homotopy Operator on Differential Forms

Author

Listed:
  • Shusen Ding
  • Peilin Shi
  • Yong Wang

Abstract

The purpose of this survey paper is to present an up‐to‐date account of the recent advances made in the study of Lp‐theory of the homotopy operator applied to differential forms. Specifically, we will discuss various local and global norm estimates for the homotopy operator T and its compositions with other operators, such as Green’s operator and potential operator.

Suggested Citation

  • Shusen Ding & Peilin Shi & Yong Wang, 2014. "Recent Advances in Lp‐Theory of Homotopy Operator on Differential Forms," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:596704
    DOI: 10.1155/2014/596704
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/596704
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/596704?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Ravi P. Agarwal & Shusen Ding & Craig Nolder, 2009. "Inequalities for Differential Forms," Springer Books, Springer, number 978-0-387-68417-8, March.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Yuxia Tong & Jiantao Gu & Shenzhou Zheng, 2014. "Zeros for the Gradients of Weakly A‐Harmonic Tensors," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    2. Ru Fang, 2014. "Poincaré Inequalities for Composition Operators with Lφ‐Norm," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Guannan Shi & Yuming Xing & Baiqing Sun, 2014. "Poincaré‐Type Inequalities for the Composite Operator in L𝒜‐Averaging Domains," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. Tingting Wang & Gejun Bao, 2012. "Some Properties of Solutions to a Class of Dirichlet Boundary Value Problems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    5. Yuxia Tong & Shenzhou Zheng & Jiantao Gu, 2014. "Higher Integrability for Very Weak Solutions of Inhomogeneous A‐Harmonic Form Equations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:596704. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4058 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.