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Volumn 31, Issue 1, 2006, Pages 239-264

The boundedness of classical operators on variable Lp spaces

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EID: 33744510412     PISSN: 1239629X     EISSN: 1239629X     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (445)

References (50)
  • 1
    • 0036768849 scopus 로고    scopus 로고
    • Regularity results for stationary electrorheological fluids
    • ACERBI, E., and G. MINGIONE: Regularity results for stationary electrorheological fluids. - Arch. Ration. Mech. Anal. 164, 2002, 213-259.
    • (2002) Arch. Ration. Mech. Anal. , vol.164 , pp. 213-259
    • Acerbi, E.1    Mingione, G.2
  • 2
    • 0003796630 scopus 로고
    • Academic Press, New York
    • ADAMS, R.: Sobolev Spaces. - Academic Press, New York, 1975.
    • (1975) Sobolev Spaces
    • Adams, R.1
  • 3
    • 0011021604 scopus 로고
    • ∞ weights for various singular integral operators
    • ∞ weights for various singular integral operators. - Boll. Unione Mat. Ital. Sez. A 7:8, 1994, 123-133.
    • (1994) Boll. Unione Mat. Ital. Sez. A , vol.7 , Issue.8 , pp. 123-133
    • Alvarez, J.1    Pérez, C.2
  • 4
    • 0002320941 scopus 로고
    • Lebesgue spaces of differentiable functions and distributions
    • Partial Differential Equations, edited by C. Morrey, Amer. Math. Soc., Providence
    • CALDERÓN, A.: Lebesgue spaces of differentiable functions and distributions. - In: Partial Differential Equations, Proc. Symp. Pure Math. 4, edited by C. Morrey, Amer. Math. Soc., Providence, 1961, 33-49.
    • (1961) Proc. Symp. Pure Math. , vol.4 , pp. 33-49
    • Calderón, A.1
  • 5
    • 34250593672 scopus 로고
    • On the existence of certain singular integrals
    • CALDERÓN, A., and A. ZYGMUND: On the existence of certain singular integrals. - Acta Math. 88 1952, 85-139.
    • (1952) Acta Math. , vol.88 , pp. 85-139
    • Calderón, A.1    Zygmund, A.2
  • 7
    • 0000133815 scopus 로고
    • Weighted norm inequalities for maximal functions and singular integrals
    • COIFMAN, R., and C. FEFFERMAN: Weighted norm inequalities for maximal functions and singular integrals. - Studia Math. 51, 1974, 241-250.
    • (1974) Studia Math. , vol.51 , pp. 241-250
    • Coifman, R.1    Fefferman, C.2
  • 8
    • 0000278701 scopus 로고
    • Factorization theorems for Hardy spaces in several variables
    • COIFMAN, R., R. ROCHBERG, and G. WEISS: Factorization theorems for Hardy spaces in several variables. - Ann. of Math. 103, 1976, 611-635.
    • (1976) Ann. of Math. , vol.103 , pp. 611-635
    • Coifman, R.1    Rochberg, R.2    Weiss, G.3
  • 17
    • 0000716191 scopus 로고
    • Weighted norm inequalities for homogeneous singular integrals
    • DUOANDIKOETXEA, J.: Weighted norm inequalities for homogeneous singular integrals. Trans. Amer. Math. Soc. 336 1993, 869-880.
    • (1993) Trans. Amer. Math. Soc. , vol.336 , pp. 869-880
    • Duoandikoetxea, J.1
  • 18
    • 0011370069 scopus 로고    scopus 로고
    • Fourier analysis
    • Amer. Math. Soc., Providence
    • DUOANDIKOETXEA, J.: Fourier Analysis. - Grad. Stud. Math. 29, Amer. Math. Soc., Providence, 2000.
    • (2000) Grad. Stud. Math. , vol.29
    • Duoandikoetxea, J.1
  • 20
    • 0001385278 scopus 로고    scopus 로고
    • Sobolev embeddings with variable exponent
    • EDMUNDS, D., and J. RÁKOSNÍK: Sobolev embeddings with variable exponent. - Studia Math. 143, 2000, 267-293.
    • (2000) Studia Math. , vol.143 , pp. 267-293
    • Edmunds, D.1    Rákosník, J.2
  • 21
  • 23
    • 0003259059 scopus 로고
    • Elliptic partial differential equations of second order
    • 2nd Edition, Springer-Verlag, Berlin
    • GILBARG, D., and N. TRUDINGER: Elliptic partial differential equations of second order. - 2nd Edition, Grundlehren Math. Wiss. 224, Springer-Verlag, Berlin, 1983.
    • (1983) Grundlehren Math. Wiss. , vol.224
    • Gilbarg, D.1    Trudinger, N.2
  • 24
    • 0002481708 scopus 로고
    • Weighted integral inequalities for the nontangential maximal function, Lusin area integral, and Walsh-Paley series
    • GUNDY, R. F, and R. L. WHEEDEN: Weighted integral inequalities for the nontangential maximal function, Lusin area integral, and Walsh-Paley series. - Studia Math. 49, 1973, 101-118.
    • (1973) Studia Math. , vol.49 , pp. 101-118
    • Gundy, R.F.1    Wheeden, R.L.2
  • 25
    • 0010198401 scopus 로고
    • Extrapolation results for classes of weights
    • HARBOURE, E., R. MACIAS, and C. SEGOVIA: Extrapolation results for classes of weights. - Amer. J. Math. 110, 1988, 383-397.
    • (1988) Amer. J. Math. , vol.110 , pp. 383-397
    • Harboure, E.1    Macias, R.2    Segovia, C.3
  • 27
    • 1842780738 scopus 로고
    • Zygmund operators, pseudo-differential operators and the cauchy integral of Calderón
    • Springer-Verlag, New York
    • JOURNÉ, J.-L.: Zygmund Operators, Pseudo-Differential Operators and the Cauchy Integral of Calderón. - Lecture Notes in Math. 994, Springer-Verlag, New York, 1983.
    • (1983) Lecture Notes in Math. , vol.994
    • Journé, J.-L.1
  • 28
    • 21144445528 scopus 로고    scopus 로고
    • p spaces with variable exponent
    • p spaces with variable exponent. - Publ. Mat. 49, 2005, 111-125.
    • (2005) Publ. Mat. , vol.49 , pp. 111-125
    • Karlovich, A.1    Lerner, A.2
  • 29
    • 84893030671 scopus 로고    scopus 로고
    • Singular integrals in weighted Lebesgue spaces with variable exponent
    • KOKILASHVILI, V., and S. SAMKO: Singular integrals in weighted Lebesgue spaces with variable exponent. - Georgian Math. J. 10, 2003, 145-156.
    • (2003) Georgian Math. J. , vol.10 , pp. 145-156
    • Kokilashvili, V.1    Samko, S.2
  • 30
    • 1342283933 scopus 로고    scopus 로고
    • On Sobolev theorem for Riesz type potentials in the Lebesgue spaces with variable exponent
    • KOKILASHVILI, V., and S. SAMKO: On Sobolev theorem for Riesz type potentials in the Lebesgue spaces with variable exponent. - Z. Anal. Anwendungen 22, 2003, 899-910.
    • (2003) Z. Anal. Anwendungen , vol.22 , pp. 899-910
    • Kokilashvili, V.1    Samko, S.2
  • 33
    • 0000966564 scopus 로고
    • Results on weighted norm inequalities for multipliers
    • KURTZ, D., and R. WHEEDEN: Results on weighted norm inequalities for multipliers. Trans. Amer. Math. Soc. 255, 1979, 343-362.
    • (1979) Trans. Amer. Math. Soc. , vol.255 , pp. 343-362
    • Kurtz, D.1    Wheeden, R.2
  • 37
    • 1842681531 scopus 로고    scopus 로고
    • Sharp estimates for commutators of singular integrals via iterations of the Hardy-Littlewood maximal function
    • PÉREZ, C.: Sharp estimates for commutators of singular integrals via iterations of the Hardy-Littlewood maximal function. - J. Fourier Anal. Appl. 3, 1997, 743-756.
    • (1997) J. Fourier Anal. Appl. , vol.3 , pp. 743-756
    • Pérez, C.1
  • 38
    • 0037932530 scopus 로고    scopus 로고
    • p(x) on which the Hardy-Littlewood maximal operator is not bounded
    • p(x) on which the Hardy-Littlewood maximal operator is not bounded. - Expo. Math. 4, 2001, 369-372.
    • (2001) Expo. Math. , vol.4 , pp. 369-372
    • Pick, L.1    Růžička, M.2
  • 40
    • 0003196293 scopus 로고    scopus 로고
    • Electrorheological fluids: Modeling and mathematical theory
    • Springer-Verlag, Berlin
    • RŮŽIČKA, M.: Electrorheological Fluids: Modeling and Mathematical Theory. - Lecture Notes in Math. 1748, Springer-Verlag, Berlin, 2000.
    • (2000) Lecture Notes in Math. , vol.1748
    • Růžička, M.1
  • 43
    • 0001196501 scopus 로고    scopus 로고
    • Engl. transl.: Dokl. Math. 60, 1999, 382-385.
    • (1999) Dokl. Math. , vol.60 , pp. 382-385
  • 46
    • 84974001363 scopus 로고
    • Weighted estimates for singular integrals via Fourier transform estimates
    • WATSON, D.: Weighted estimates for singular integrals via Fourier transform estimates. Duke Math. J. 60, 1990, 389-399.
    • (1990) Duke Math. J. , vol.60 , pp. 389-399
    • Watson, D.1
  • 47
    • 77956456169 scopus 로고
    • Analytic extensions of differentiable functions defined in closed sets
    • WHITNEY, H.: Analytic extensions of differentiable functions defined in closed sets. Trans. Amer. Math. Soc. 36, 1934, 63-89.
    • (1934) Trans. Amer. Math. Soc. , vol.36 , pp. 63-89
    • Whitney, H.1
  • 48
    • 0037594642 scopus 로고
    • Averaging of functionals of the calculus of variations and elasticity theory
    • Russian
    • ZHIKOV, V. V. : Averaging of functionals of the calculus of variations and elasticity theory. - Izv. Akad. Nauk SSSR Ser. Mat. 50, 1986, 675-710, 877 (Russian).
    • (1986) Izv. Akad. Nauk SSSR Ser. Mat. , vol.50 , pp. 675-710
    • Zhikov, V.V.1
  • 49
    • 0003320023 scopus 로고
    • Weakly differentiable functions
    • Springer-Verlag
    • ZIEMER, W. P.: Weakly Differentiable Functions. - Grad. Texts in Math. 120, Springer-Verlag, 1989.
    • (1989) Grad. Texts in Math. , vol.120
    • Ziemer, W.P.1
  • 50
    • 0009878081 scopus 로고
    • A note on approximation of the identity
    • ZO, F.: A note on approximation of the identity. - Studia Math. 55, 1976, 111-122.
    • (1976) Studia Math. , vol.55 , pp. 111-122
    • Zo, F.1


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