## On functions with conditions on the mean oscillation.(English)Zbl 0341.43005

### MSC:

 43A22 Homomorphisms and multipliers of function spaces on groups, semigroups, etc. 42A45 Multipliers in one variable harmonic analysis
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### References:

 [1] Calderón, A. P., Zygmund, A., On the existence of certain singular integrals.Acta Math. 88 (1952), 85–139. · Zbl 0047.10201 [2] Campanato, S., Proprietà di hölderianità di alcune classi di funzioni.Ann. Scuola Norm. Sup. Pisa 17 (1963), 175–188. · Zbl 0121.29201 [3] Fefferman, C. L., Characterizations of bounded mean oscillation.Bull. Amer. Math. Soc. 77 (1971), 587–588. · Zbl 0229.46051 [4] Fefferman, C. L., Stein, E. M.,H p -spaces of several variables.Acta Math. 129 (1972), 137–193. · Zbl 0257.46078 [5] John, F., Nirenberg, L., On functions of bounded mean oscillation.Comm. Pure Appl. Math. 14 (1961), 415–426. · Zbl 0102.04302 [6] Katznelson, Y.,An Introduction to Harmonic Analysis. Wiley 1968. · Zbl 0169.17902 [7] Meyers, N. G., Mean oscillation over cubes and Hölder continuity.Proc. Amer. Math. Soc. 15 (1964), 717–721. · Zbl 0129.04002 [8] Neri, U., Fractional integration on the spaceH 1 and its dual.Studia Math. 53 (1975), 175–189. · Zbl 0269.44012 [9] Peetre, J., On convolution operators leavingL p, {$$\lambda$$} -spaces invariant.Ann. Mat. Pura Appl. 72 (1966), 295–304. · Zbl 0149.09102 [10] Peetre, J., On the theory ofL p, {$$\lambda$$} -spaces.J. Functional Analysis 4 (1969), 71–87. · Zbl 0175.42602 [11] Sarason, D., Algebras of functions on the unit circle.Bull. Amer. Math. Soc. 79 (1973), 286–299. · Zbl 0257.46079 [12] Sarason, D., Functions of vanishing mean oscillation.Trans. Amer. Math. Soc. 207 (1975), 391–405. · Zbl 0319.42006 [13] Spanne, S., Some function spaces defined using the mean oscillation over cubes.Ann. Scuola Norm. Sup. Pisa 19 (1965), 593–608. · Zbl 0199.44303 [14] Stein, E. M.,Singular integrals and differentiability properties of functions. Princeton 1970. · Zbl 0207.13501
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