ORIGINAL ARTICLE
Extrapolation results on variable exponent grand Lebesgue space with weights
Monika Singh,
Corresponding Author
Monika Singh
Department of Mathematics, Lady Shri Ram College For Women, University of Delhi, New Delhi, India
Correspondence
Monika Singh, Department of Mathematics, Lady Shri Ram College For Women, University of Delhi, Lajpat Nagar, New Delhi 110024, India.
Email: [email protected]
Search for more papers by this authorMonika Singh,
Corresponding Author
Monika Singh
Department of Mathematics, Lady Shri Ram College For Women, University of Delhi, New Delhi, India
Correspondence
Monika Singh, Department of Mathematics, Lady Shri Ram College For Women, University of Delhi, Lajpat Nagar, New Delhi 110024, India.
Email: [email protected]
Search for more papers by this authorFirst published: 27 June 2024
Abstract
In this paper, we study Rubio de Francia extrapolation theorems in the framework of the variable grand Lebesgue spaces with weights. As an application of the extrapolation theorems, we prove the boundedness of the Hardy averaging operator and the fractional Riemann Liouville transform for nonnegative and nonincreasing measurable functions. Some structural properties of the weighted grand Lebesgue spaces with variable exponent are also investigated.
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