Change of variable results for 𝐴_{𝑝}- and reverse Hölder 𝑅𝐻ᵣ-classes

Johnson, R.; Neugebauer, C. J.

doi:10.1090/S0002-9947-1991-1018575-X

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 PDF

Trans. Amer. Math. Soc. 328 (1991), 639-666 Request permission

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 $R{H_{{r_2}}}$.

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