Skip to main content

The Generalized Muckenhoupt Condition*

Part of the Lecture Notes in Mathematics book series (LNM,volume 2017)

Abstract

The boundedness of the maximal operator M is closely linked to very impor tant properties of the spaces \(L^{p(.)}\). Indeed, we will see in Chaps. 6 and 8 that the boundedness ofM is needed for the Sobolev embeddings\(W^{1,p^{(.)}}\hookrightarrow L^{p^{*(.)}}\) , boundedness singular integrals on \(L^{p(.)}\) and Korn’s inequality.

Keywords

  • Maximal Operator
  • Lebesgue Space
  • Orlicz Space
  • Weak Type
  • Variable Exponent

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   79.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   99.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Lars Diening .

Rights and permissions

Reprints and Permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Diening, L., Harjulehto, P., Hästö, P., Růžička, M. (2011). The Generalized Muckenhoupt Condition* . In: Lebesgue and Sobolev Spaces with Variable Exponents. Lecture Notes in Mathematics(), vol 2017. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18363-8_5

Download citation