Relation Between BMO and A2 Weight Functions

Authors

  • Durga Jang K.C. Tribhuvan University Kathmandu, Nepal
  • Santosh Ghimire Pulchowk Engineering Campus, Tribhuvan University, Kathmandu Nepal

Keywords:

Weight function, BMO function, Ap weight function

Abstract

In this paper, we relate Bounded Mean Oscillation (BMO) function and A2 weight function. We show that logarithm of any A2 function is a BMO function and every BMO function is equal to a constant multiple of the logarithm of an A2 weight function. Moreover, we show that logarithm of any Ap weight function for 1 < p < ∞ is a BMO function.

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Author Biographies

Durga Jang K.C., Tribhuvan University Kathmandu, Nepal

Central Department of Mathematics

Santosh Ghimire, Pulchowk Engineering Campus, Tribhuvan University, Kathmandu Nepal

Department of Science and Humanities

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Published

2016-12-31

How to Cite

Relation Between BMO and A2 Weight Functions. (2016). The Nepali Mathematical Sciences Report, 34(1-2), 19-23. https://doi.org/10.3126/nmsr.v34i1-2.30010

Issue

Vol. 34 No. 1-2 (2016)

Section

Articles

License

Copyright © The Nepali Mathematical Sciences Report

How to Cite

Relation Between BMO and A2 Weight Functions. (2016). The Nepali Mathematical Sciences Report, 34(1-2), 19-23. https://doi.org/10.3126/nmsr.v34i1-2.30010