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@article{IVM_2000_3_a2, author = {G. B. Arutyunyants}, title = {On the boundedness of some maximal and multiplicative operators}, journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika}, pages = {17--20}, publisher = {mathdoc}, number = {3}, year = {2000}, language = {ru}, url = {https://geodesic-test.mathdoc.fr/item/IVM_2000_3_a2/} }
G. B. Arutyunyants. On the boundedness of some maximal and multiplicative operators. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2000), pp. 17-20. https://geodesic-test.mathdoc.fr/item/IVM_2000_3_a2/
[1] Jessen B., Marcinkiewicz J., Zygmund A., “Note on the differentiability of multiple integrals”, Fund. Math., 25 (1935), 217–234
[2] De Guzman M., Real variable methods in Fourier analysis, North-Holland Publ., Amsterdam–N. Y.–Oxford, 1981, 392 pp. | MR | Zbl
[3] Strömberg J. O., “Weak estimates on maximal functions with rectangles in certain directions”, Ark. Math., 15 (1977), 229–240 | DOI | MR | Zbl
[4] Cordoba A., Fefferman R., “On differentiation of integrals”, Proc. Nat. Acad. Sci. USA, 74:6 (1977), 2211–2213 | DOI | MR | Zbl
[5] Nagel A., Stein E. M., Wainger S., “Differentiation in lacunary directions”, Proc. Nat. Acad. Sci. USA, 75 (1978), 1060–1062 | DOI | MR | Zbl
[6] Sjögren P., Sjölin P., “Littlewood–Paley decompositions and Fourier multipliers with singularities on certain sets”, Ann. Inst. Fourier, 31:1 (1981), 157–175 | MR | Zbl
[7] Katz N. H., “Counterexamples for maximal operators over Cantor sets of directions”, Math. Research Letters, 3:4 (1996), 527–536 | MR | Zbl
[8] Hare K. E., Klemes I., “Properties of Littlewood–Paley sets”, Math. Proc. Camb. Phil. Soc., 83 (1989), 485–495 | MR
[9] Edwards R. E., Gaudry G. I., Littlewood–Paley and multiplier theory, Springer, Berlin, 1977, 212 pp. | MR
[10] Buseman H., Feller W., “Zur Differentiation das Lebesgueschen Integrale”, Fund. Math., 22 (1934), 226–256
[11] Fefferman C., “The multiplier problem for the ball”, Ann. Math., 94:2 (1971), 330–336 | DOI | MR | Zbl
[12] Stokolos A. M., “K voprosu M. Gusmana o multiplikatorakh Fure poligonalnykh oblastei”, Sib. matem. zhurn., 36:6 (1995), 1392–1398 | MR | Zbl