Change of variable results for $A_ p$- and reverse Hölder $\textrm {RH}_ r$-classes
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- by R. Johnson and C. J. Neugebauer
- Trans. Amer. Math. Soc. 328 (1991), 639-666
- DOI: https://doi.org/10.1090/S0002-9947-1991-1018575-X
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Abstract:
We study conditions under which the map \[ {T_{h,\gamma }}w(x)= w(h(x))|h’(x){|^\gamma }\] maps the Muckenhoupt class ${A_p}$ into ${A_q}$ and the reverse Hölder class $R{H_{{r_1}}}$ into $R{H_{{r_2}}}$.References
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Bibliographic Information
- © Copyright 1991 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 328 (1991), 639-666
- MSC: Primary 42B25; Secondary 42B20, 44A15, 46E10
- DOI: https://doi.org/10.1090/S0002-9947-1991-1018575-X
- MathSciNet review: 1018575