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Hardy-Type Operators

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Bounded and Compact Integral Operators

Part of the book series: Mathematics and Its Applications ((MAIA,volume 543))

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Abstract

Being an efficient tool with many applications in various fields of analysis, the Hardy operator

EquationSource% feaaguart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamisaiaadA % gacaGGOaGaamiEaiaacMcacqGH9aqpdaWdXbqaaiaadAgacaGGOaGa % amyEaiaacMcacaWGKbGaamyEaiaacYcacaaMe8UaamiEamrr1ngBPr % MrYf2A0vNCaeHbfv3ySLgzGyKCHTgD1jhaiuaacqWF+aGpcaaIWaaa % leaacaaIWaaabaGaamiEaaqdcqGHRiI8aaaa!5405! ]></EquationSource><EquationSource Format="TEX"><![CDATA[$$ Hf(x) = \int\limits_0^x {f(y)dy,\;x > 0} $$

for the past eighty years has been the subject of investigations by many mathematicians.

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Authors and Affiliations

  1. Centre for Mathematical Analysis and its Application, University of Sussex, Sussex, UK

    David E. Edmunds & Vakhtang Kokilashvili

  2. A. Razmadze Mathematical Institute, Georgian Academy of Sciences, Tbilisi, Georgia

    Alexander Meskhi

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  1. David E. Edmunds
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  2. Vakhtang Kokilashvili
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  3. Alexander Meskhi
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© 2002 Springer Science+Business Media Dordrecht

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Edmunds, D.E., Kokilashvili, V., Meskhi, A. (2002). Hardy-Type Operators. In: Bounded and Compact Integral Operators. Mathematics and Its Applications, vol 543. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9922-1_1

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  • DOI: https://doi.org/10.1007/978-94-015-9922-1_1

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6018-1

  • Online ISBN: 978-94-015-9922-1

  • eBook Packages: Springer Book Archive

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