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Hardy-Littlewood inequality for quasiregular mappings in certain domains in R^n

1985
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Annales Academiae Scientiarum Fennicae Series A I Mathematica
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In their paper "Some properties of conjugate functions" [7] Hardy and Littlewood proved the following Theorem l. If f:vtriu is analytic in a disk DcRz cmtered at zo, thm for O=p=.-, where. C, does not depend on f. Genenlizations of this theorem to solutions of elliptic systems of P.D.E.'s in several variables as well as to more general domains were treated in a recent paper by J. Boman [2] for l<p<.-; they can be extended to hold for 0<p<-. We will establish similar estimates for the components

doi:10.5186/aasfm.1985.1030
fatcat:x2o2miduyncclbg3xyxqbz7npe