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Let $\Omega\in L^s(\mathrm{S}^{n-1})$ for $s>1$ be a homogeneous function of degree zero and $b$ be BMO functions or Lipschitz functions. In this paper, we obtain some boundedness of the Calder\'{o}n-Zygmund singular integral operator $T_\Omega$ and its commutator $[b,T_\Omega]$ on Herz-type Hardy spaces with variable exponent.
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참고문헌 (15)
참고문헌 신청
C. Capone / 2007 / The fractional maximal operator and fractional integrals on variable Lp spaces / Rev. Mat. Iberoamericana 23 (3) : 743 ~ 770
D. Cruz-Uribe / 2006 / The boundedness of classical operators on variable Lp spaces / Ann. Acad. Sci. Fenn. Math 31 (1) : 239 ~ 264
D. Cruz-Uribe / 2013 / Variable Lebesgue Spaces: Foundations and Harmonic Analysis (Applied and Numerical Harmonic Analysis) / Springer
E. Nakai / 2012 / Hardy spaces with variable exponents and generalized Cam-panato spaces / J. Funct. Anal 262 (9) : 3665 ~ 3748
H. Wang / 2012 / The Herz-type Hardy spaces with variable exponent and their applications / Taiwanese J. Math 16 (4) : 1363 ~ 1389
D. Cruz-Uribe / 2006 / The boundedness of classical operators on variable Lp spaces / Ann. Acad. Sci. Fenn. Math 31 (1) : 239 ~ 264
D. Cruz-Uribe / 2013 / Variable Lebesgue Spaces: Foundations and Harmonic Analysis (Applied and Numerical Harmonic Analysis) / Springer
E. Nakai / 2012 / Hardy spaces with variable exponents and generalized Cam-panato spaces / J. Funct. Anal 262 (9) : 3665 ~ 3748
H. Wang / 2012 / The Herz-type Hardy spaces with variable exponent and their applications / Taiwanese J. Math 16 (4) : 1363 ~ 1389
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