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Integral operators on fully measurable weighted grand Lebesgue spaces |
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| Institution: | 1. Department of Mathematics, South Asian University, Akbar Bhawan, Chanakya Puri, New Delhi, 110 021, India;2. Department of Mathematics, Lady Shri Ram College For Women, University of Delhi, Lajpat Nagar, New Delhi, 110 024, India;3. Department of Mathematics, Dyal Singh College, University of Delhi, Lodhi Road, New Delhi, 110 003, India |
| Abstract: | In this paper we introduce the weighted version of fully measurable grand Lebesgue spaces and obtain characterizations for the boundedness of maximal operator, Hilbert transform and the Hardy averaging operator on these spaces. |
| Keywords: | Banach function norm Non-increasing functions Grand Lebesgue spaces |
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