Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

Mathematics > Classical Analysis and ODEs

arXiv:1810.08081 (math)
[Submitted on 18 Oct 2018 (v1), last revised 1 Nov 2019 (this version, v2)]

Title:Remarks on estimates for the adjoint restriction operator to curves over the sphere

Authors:Seheon Ham, Hyerim Ko, Sanghyuk Lee
View PDF
Abstract:Recently, two of the authors obtained estimates for the adjoint restriction operator to finite type curves with respect to general measures. Strikingly, it turns out that some of such estimates are sharp, especially when the measures are given by surface measures under certain condition. A typical example is the surface measure on the sphere. We demonstrate sharpness of such estimates by constructing an example and, also, discuss related estimates over different type of surfaces.
Comments: 17 pages
Subjects: Classical Analysis and ODEs (math.CA)
MSC classes: 42B10
Cite as: arXiv:1810.08081 [math.CA]
  (or arXiv:1810.08081v2 [math.CA] for this version)
  https://doi.org/10.48550/arXiv.1810.08081

Submission history

From: Hyerim Ko [view email]
[v1] Thu, 18 Oct 2018 14:33:09 UTC (21 KB)
[v2] Fri, 1 Nov 2019 15:21:51 UTC (22 KB)
Full-text links:

Access Paper:

  • View PDF
  • TeX Source
  • Other Formats
view license
Current browse context:
math.CA
< prev   |   next >
new | recent | 2018-10
Change to browse by:
math

References & Citations

export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)