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Springer Proceedings in Mathematics & Statistics

Function Spaces and Inequalities

New Delhi, India, December 2015

Editors: Jain, Pankaj, Schmeisser, Hans-Jürgen (Eds.)

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  • Features original works and survey articles on topics of function spaces and inequalities
  • Discusses recent developments in the theory of spaces with variable exponents
  • Presents papers on topics from Lebesgue spaces, Orlicz spaces, Lorentz spaces and Morrey spaces
  • Includes papers on further investigations concern Sobolev-type embeddings, discrete inequalities and harmonic analysis
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eBook 117,69 €
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  • ISBN 978-981-10-6119-6
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Hardcover 145,59 €
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  • ISBN 978-981-10-6118-9
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  • Covid-19 shipping restrictions
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Softcover 145,59 €
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  • ISBN 978-981-13-5572-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
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About this book

This book features original research and survey articles on the topics of function spaces and inequalities. It focuses on (variable/grand/small) Lebesgue spaces, Orlicz spaces, Lorentz spaces, and Morrey spaces and deals with mapping properties of operators, (weighted) inequalities, pointwise multipliers and interpolation. Moreover, it considers Sobolev–Besov and Triebel–Lizorkin type smoothness spaces. The book includes papers by leading international researchers, presented at the International Conference on Function Spaces and Inequalities, held at the South Asian University, New Delhi, India, on 11–15 December 2015, which focused on recent developments in the theory of spaces with variable exponents. It also offers further investigations concerning Sobolev-type embeddings, discrete inequalities and harmonic analysis. Each chapter is dedicated to a specific topic and written by leading experts, providing an overview of the subject and stimulating future research.

About the authors

PANKAJ JAIN is associate professor of Mathematics at the South Asian University, New Delhi, India. With over 27 years of teaching experience, Dr Jain has taught several courses in pure and applied mathematics both at undergraduate and postgraduate levels. His research interests include the theory of function spaces, integral inequalities of Hardy type and Fourier analysis. He has authored more than 50 research papers in several respected international journals. Dr Jain has been involved in 23 collaborations, including 12 from outside India. Dr Jain has received grants from various agencies in India and abroad in connection with research projects, attending international conferences and collaborating with foreign mathematicians. This includes the BOYSCAST fellowship of DST visiting Sweden, the Royal Society (London) Exchange Programme visiting the U.K. three times and very recently the Indo-Russian S&T project.

 

HANS-JÜRGEN SCHMEISSER is professor of Analysis at the Friedrich Schiller University of Jena, Germany. His research fields include the theory of function spaces as well as Fourier analysis and approximation theory. He has published a joint monograph with Hans Triebel on “Topics in Fourier Analysis and Function Spaces” and about 60 research papers with 12 coauthors. He is one of the organisers of the international conference series on “Function Spaces, Differential Operators and Nonlinear Analysis (FSDONA)”. His research has received several grants from the German Research Foundation (DFG).


Table of contents (15 chapters)

Table of contents (15 chapters)
  • The Fundamental Function of Certain Interpolation Spaces Generated by N-Tuples of Rearrangement-Invariant Spaces

    Pages 1-14

    Cobos, Fernando (et al.)

  • Sobolev Embeddings for Herz-Type Triebel-Lizorkin Spaces

    Pages 15-35

    Drihem, Douadi

  • Order Sharp Estimates for Monotone Operators on Orlicz–Lorentz Classes

    Pages 37-83

    Goldman, Mikhail L.

  • Complex Interpolation of Morrey Spaces

    Pages 85-115

    Hakim, Denny Ivanal (et al.)

  • Gagliardo-Nirenberg Inequalities for Spaces with Dominating Mixed Derivatives

    Pages 117-135

    Haroske, Dorothee D. (et al.)

Buy this book

eBook 117,69 €
price for Spain (gross)
  • ISBN 978-981-10-6119-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 145,59 €
price for Spain (gross)
  • ISBN 978-981-10-6118-9
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 145,59 €
price for Spain (gross)
  • ISBN 978-981-13-5572-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Function Spaces and Inequalities
Book Subtitle
New Delhi, India, December 2015
Editors
  • Pankaj Jain
  • Hans-Jürgen Schmeisser
Series Title
Springer Proceedings in Mathematics & Statistics
Series Volume
206
Copyright
2017
Publisher
Springer Singapore
Copyright Holder
Springer Nature Singapore Pte Ltd.
eBook ISBN
978-981-10-6119-6
DOI
10.1007/978-981-10-6119-6
Hardcover ISBN
978-981-10-6118-9
Softcover ISBN
978-981-13-5572-1
Series ISSN
2194-1009
Edition Number
1
Number of Pages
VIII, 335
Number of Illustrations
2 b/w illustrations
Topics