최소 단어 이상 선택하여야 합니다.
최대 10 단어까지만 선택 가능합니다.
다음과 같은 기능을 한번의 로그인으로 사용 할 수 있습니다.
NTIS 바로가기Journal of the Korean Mathematical Society = 대한수학회지, v.55 no.4, 2018년, pp.939 - 962
Wang, Liwei (School of Mathematics and Physics Anhui Polytechnic University)
In this paper, we show that the commutator of the intrinsic square function with BMO symbols is bounded on the variable exponent Lebesgue spaces
A. Almeida and D. Drihem, Maximal, potential and singular type operators on Herz spaces with variable exponents, J. Math. Anal. Appl. 394 (2012), no. 2, 781-795.
Y. Chen, S. Levine, and M. Rao, Variable exponent, linear growth functionals in image restoration, SIAM J. Appl. Math. 66 (2006), no. 4, 1383-1406.
D. V. Cruz-Uribe and A. Fiorenza, Variable Lebesgue Spaces, Applied and Numerical Harmonic Analysis, Birkhauser, Springer, Heidelberg, 2013.
D. Cruz-Uribe, A. Fiorenza, and C. J. Neugebauer, The maximal function on variable $L^p$ spaces, Ann. Acad. Sci. Fenn. Math. 28 (2003), no. 1, 223-238.
D. Cruz-Uribe, SFO, A. Fiorenza, J. Martell, and C. Perez, The boundedness of classical operators on variable $L^p$ spaces, Ann. Acad. Sci. Fenn. Math. 31 (2006), no. 1, 239-264.
L. Diening, Maximal function on generalized Lebesgue spaces $L^{p({\cdot})}$ , Math. Inequal. Appl. 7 (2004), no. 2, 245-253.
L. Diening, Maximal function on Musielak-Orlicz spaces and generalized Lebesgue spaces, Bull. Sci. Math. 129 (2005), no. 8, 657-700.
L. Diening, P. Harjulehto, P. Hasto, and M. Ruzicka, Lebesgue and Sobolev spaces with variable exponents, Lecture Notes in Mathematics, 2017, Springer, Heidelberg, 2011.
B. Dong and J. Xu, Variable exponent Herz type Hardy spaces and their applications, Anal. Theory Appl. 31 (2015), no. 4, 321-353.
D. Drihem and F. Seghiri, Notes on the Herz-type Hardy spaces of variable smoothness and integrability, Math. Inequal. Appl. 19 (2016), no. 1, 145-165.
C. Fefferman and E. M. Stein, Some maximal inequalities, Amer. J. Math. 93 (1971), 107-115.
C. Fefferman and E. M. Stein, $Hp$ spaces of several variables, Acta Math. 129 (1972), no. 3-4, 137-193.
V. Guliyev, M. Omarova, and Y. Sawano, Boundedness of intrinsic square functions and their commutators on generalized weighted Orlicz-Morrey spaces, Banach J. Math. Anal. 9 (2015), no. 2, 44-62.
Y. Han, M.-Y. Lee, and C.-C. Lin, Atomic decomposition and boundedness of operators on weighted Hardy spaces, Canad. Math. Bull. 55 (2012), no. 2, 303-314.
P. Harjulehto, P. Hasto, U. V. Le, and M. Nuortio, Overview of differential equations with non-standard growth, Nonlinear Anal. 72 (2010), no. 12, 4551-4574.
K.-P. Ho, The fractional integral operators on Morrey spaces with variable exponent on unbounded domains, Math. Inequal. Appl. 16 (2013), no. 2, 363-373.
K.-P. Ho, Atomic decompositions of weighted Hardy-Morrey spaces, Hokkaido Math. J. 42 (2013), no. 1, 131-157.
K.-P. Ho, Intrinsic square functions on Morrey and block spaces with variable exponents, Bull. Malays. Math. Sci. Soc. 40 (2017), no. 3, 995-1010.
Y. Hu and Y. Wang, The commutators of intrinsic square functions on weighted Herz spaces, Bull. Malays. Math. Sci. Soc. 39 (2016), no. 4, 1421-1437.
M. Izuki, Commutators of fractional integrals on Lebesgue and Herz spaces with variable exponent, Rend. Circ. Mat. Palermo (2) 59 (2010), no. 3, 461-472.
M. Izuki, Fractional integrals on Herz-Morrey spaces with variable exponent, Hiroshima Math. J. 40 (2010), no. 3, 343-355.
O. Kovacik and J. Rakosnik, On spaces $L^{p(x)}$ and $W^{k,p(x)}$ , Czechoslovak Math. J. 41 (1991), 592-618.
A. K. Lerner, Sharp weighted norm inequalities for Littlewood-Paley operators and singular integrals, Adv. Math. 226 (2011), no. 5, 3912-3926.
Y. Liang and D. Yang, Intrinsic square function characterizations of Musielak-Orlicz Hardy spaces, Trans. Amer. Math. Soc. 367 (2015), no. 5, 3225-3256.
S. Lu and L. Xu, Boundedness of rough singular integral operators on the homogeneous Morrey-Herz spaces, Hokkaido Math. J. 34 (2005), no. 2, 299-314.
S. Lu, D. Yang, and G. Hu, Herz Type Spaces and Their Applications, Science Press, Beijing, 2008.
Y. Lu and Y. P. Zhu, Boundedness of some sublinear operators and commutators on Morrey-Herz spaces with variable exponents, Czechoslovak Math. J. 64(139) (2014), no. 4, 969-987.
E. Nakai and Y. Sawano, Hardy spaces with variable exponents and generalized Campanato spaces, J. Funct. Anal. 262 (2012), no. 9, 3665-3748.
A. Nekvinda, Hardy-Littlewood maximal operator on $L^{p(x)}$ ( ${\mathbb{R}}$ ), Math. Inequal. Appl. 7 (2004), no. 2, 255-265.
M. Ruzicka, Electrorheological Fluids: modeling and mathematical theory, Lecture Notes in Mathematics, 1748, Springer-Verlag, Berlin, 2000.
J. Tan, Z. Liu, and J. Zhao, On some multilinear commutators in variable Lebesgue spaces, J. Math. Inequal. 11 (2017), no. 3, 715-734.
A. Torchinsky, Real-Variable Methods in Harmonic Analysis, Pure and Applied Mathematics, 123, Academic Press, Inc., Orlando, FL, 1986.
H. Wang, Intrinsic square functions on the weighted Morrey spaces, J. Math. Anal. Appl. 396 (2012), no. 1, 302-314.
H. Wang, Endpoint estimates for commutators of intrinsic square functions in Morrey type spaces, Math. Inequal. Appl. 18 (2015), no. 3, 801-826.
H. Wang and H. Liu, The intrinsic square function characterizations of weighted Hardy spaces, Illinois J. Math. 56 (2012), no. 2, 367-381.
H. Wang and Z. Liu, The Herz-type Hardy spaces with variable exponent and their applications, Taiwanese J. Math. 16 (2012), no. 4, 1363-1389.
M. Wilson, The intrinsic square function, Rev. Mat. Iberoam. 23 (2007), no. 3, 771-791.
M. Wilson, Weighted Littlewood-Paley Theory and Exponential-Square integrability, Lecture Notes in Mathematics, 1924, Springer, Berlin, 2008.
X. Yan, D. Yang, W. Yuan, and C. Zhuo, Variable weak Hardy spaces and their applications, J. Funct. Anal. 271 (2016), no. 10, 2822-2887.
D. Yang, C. Zhuo, and E. Nakai, Characterizations of variable exponent Hardy spaces via Riesz transforms, Rev. Mat. Complut. 29 (2016), no. 2, 245-270.
D. Yang, C. Zhuo, and W. Yuan, Triebel-Lizorkin type spaces with variable exponents, Banach J. Math. Anal. 9 (2015), no. 4, 146-202.
D. Yang, C. Zhuo, and W. Yuan, Besov-type spaces with variable smoothness and integrability, J. Funct. Anal. 269 (2015), no. 6, 1840-1898.
C. Zhuo, Y. Sawano, and D. Yang, Hardy spaces with variable exponents on RD-spaces and applications, Dissertationes Math. (Rozprawy Mat.) 520 (2016), 74 pp.
C. Zhuo, D. Yang, and Y. Liang, Intrinsic square function characterizations of Hardy spaces with variable exponents, Bull. Malays. Math. Sci. Soc. 39 (2016), no. 4, 1541-1577.
*원문 PDF 파일 및 링크정보가 존재하지 않을 경우 KISTI DDS 시스템에서 제공하는 원문복사서비스를 사용할 수 있습니다.
오픈액세스 학술지에 출판된 논문
※ AI-Helper는 부적절한 답변을 할 수 있습니다.