On the Existence of Extremals for Moser-Type Inequalities in Gauss Space

Cianchi, Andrea; Musil, Vít; Pick, Luboš

doi:10.1093/imrn/rnaa165

Skip to Main Content

Article Navigation

Journal Article

On the Existence of Extremals for Moser-Type Inequalities in Gauss Space

Get access

Abstract

The existence of an extremal in an exponential Sobolev-type inequality, with optimal constant, in Gauss space is established. A key step in the proof is an augmented version of the relevant inequality, which, by contrast, fails for a parallel classical inequality by Moser in the Euclidean space.

This article is published and distributed under the terms of the Oxford University Press, Standard Journals Publication Model (https://academic.oup.com/journals/pages/open_access/funder_policies/chorus/standard_publication_model)

You do not currently have access to this article.

Download all slides

Sign in with email/username & password
Get email alerts
Save searches
Purchase content
Activate your purchase/trial code
Add your ORCID iD

Get help with access

Institutional access

Access to content on Oxford Academic is often provided through institutional subscriptions and purchases. If you are a member of an institution with an active account, you may be able to access content in one of the following ways:

IP based access

Typically, access is provided across an institutional network to a range of IP addresses. This authentication occurs automatically, and it is not possible to sign out of an IP authenticated account.

Sign in through your institution

Choose this option to get remote access when outside your institution. Shibboleth/Open Athens technology is used to provide single sign-on between your institutionâ€™s website and Oxford Academic.

Click Sign in through your institution.
Select your institution from the list provided, which will take you to your institution's website to sign in.
When on the institution site, please use the credentials provided by your institution. Do not use an Oxford Academic personal account.
Following successful sign in, you will be returned to Oxford Academic.

If your institution is not listed or you cannot sign in to your institutionâ€™s website, please contact your librarian or administrator.

Sign in with a library card

Enter your library card number to sign in. If you cannot sign in, please contact your librarian.

Society Members

Society member access to a journal is achieved in one of the following ways:

Sign in through society site

Many societies offer single sign-on between the society website and Oxford Academic. If you see â€˜Sign in through society siteâ€™ in the sign in pane within a journal:

Click Sign in through society site.
When on the society site, please use the credentials provided by that society. Do not use an Oxford Academic personal account.
Following successful sign in, you will be returned to Oxford Academic.

If you do not have a society account or have forgotten your username or password, please contact your society.

Sign in using a personal account

Some societies use Oxford Academic personal accounts to provide access to their members. See below.

Personal account

A personal account can be used to get email alerts, save searches, purchase content, and activate subscriptions.

Some societies use Oxford Academic personal accounts to provide access to their members.

Viewing your signed in accounts

Click the account icon in the top right to:

View your signed in personal account and access account management features.
View the institutional accounts that are providing access.

Signed in but can't access content

Oxford Academic is home to a wide variety of products. The institutional subscription may not cover the content that you are trying to access. If you believe you should have access to that content, please contact your librarian.

Institutional account management

For librarians and administrators, your personal account also provides access to institutional account management. Here you will find options to view and activate subscriptions, manage institutional settings and access options, access usage statistics, and more.

Purchase

Subscription prices and ordering for this journal

Purchasing options for books and journals across Oxford Academic

Short-term Access

To purchase short-term access, please sign in to your personal account above.

Don't already have a personal account? Register

On the Existence of Extremals for Moser-Type Inequalities in Gauss Space - 24 Hours access

EUR €16.00

GBP £14.00

USD $18.00

Rental

This article is also available for rental through DeepDyve.

Views

267

Altmetric

Total Views 267

160 Pageviews

107 PDF Downloads

Since 7/1/2020

Month:	Total Views:
July 2020	4
August 2020	6
September 2020	5
October 2020	2
November 2020	3
December 2020	1
January 2021	2
February 2021	4
March 2021	8
April 2021	2
May 2021	3
June 2021	3
July 2021	4
August 2021	5
October 2021	3
December 2021	3
January 2022	17
February 2022	20
March 2022	13
April 2022	9
May 2022	7
June 2022	6
July 2022	5
August 2022	7
September 2022	8
October 2022	5
November 2022	7
December 2022	6
January 2023	15
February 2023	4
March 2023	2
April 2023	2
May 2023	3
July 2023	4
August 2023	2
September 2023	6
October 2023	3
November 2023	5
January 2024	3
February 2024	3
March 2024	3
April 2024	5
May 2024	3
June 2024	1
August 2024	6
September 2024	6
November 2024	6
December 2024	5
January 2025	5
February 2025	2
March 2025	4
April 2025	1

On the Existence of Extremals for Moser-Type Inequalities in Gauss Space

Abstract

Citations

Views

Altmetric

Email alerts

Citing articles via

Latest

Most Read

Most Cited

On the Existence of Extremals for Moser-Type Inequalities in Gauss Space

Abstract

Sign in

Personal account

Institutional access

Institutional account management

Get help with access

Institutional access

IP based access

Sign in through your institution

Sign in with a library card

Society Members

Sign in through society site

Sign in using a personal account

Personal account

Viewing your signed in accounts

Signed in but can't access content

Institutional account management

Purchase

Short-term Access

Rental

Citations

Views

Altmetric

Email alerts

Citing articles via

Latest

Most Read

Most Cited

This Feature Is Available To Subscribers Only