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O’Neil Type Convolution Inequalities in Lorentz Spaces

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Abstract

A refinement of O’Neil inequality has been given by improving the constant in the inequality. This inequality has been generalized for Lorentz spaces with general weights as well as for the two dimensional Lorentz spaces.

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Authors and Affiliations

  1. Department of Mathematics, South Asian University, Akbar Bhawan, Chanakya Puri, New Delhi, 110021, India

    Pankaj Jain

  2. Department of Mathematics, Vivekananda College (University of Delhi), Vivek Vihar, Delhi, 110095, India

    Sandhya Jain

Authors
  1. Pankaj Jain
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  2. Sandhya Jain
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Correspondence to Pankaj Jain.

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Jain, P., Jain, S. O’Neil Type Convolution Inequalities in Lorentz Spaces. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 86, 267–271 (2016). https://doi.org/10.1007/s40010-015-0258-5

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  • DOI: https://doi.org/10.1007/s40010-015-0258-5

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