The Decomposition of Herz Spaces on Local Fields and Its Applications

Vector-valued inequalities on Herz spaces and characterizations of Herz-Sobolev spaces with variable exponent

“…Hernández, Li, Lu and Yang ( [7,17,19]) have proved (4.3) on the usual Herz spaces provided −n/p < α < n/p ′ .…”

“…One of the important problems on the spaces is boundedness of sublinear operators satisfying proper conditions. Hernández, Li, Lu and Yang ( [7,17,19]) have proved that if a sublinear operator T is bounded on L p (R n ) and satisfies the size condition…”

Weak Estimates of Singular Integrals with Variable Kernel and Fractional Differentiation on Morrey-Herz Spaces

“…For instance, they were used by Baernstein and Sawyer [24] to characterize the multipliers on the classical Hardy spaces and used by Lu and Yang [25] in the study of partial differential equations. More results and further details can be found in [26][27][28]. On the basis of above available results, the theory of the homogeneous Morrey-Herz spaces goes back to Lu-Xu [29] who considered the boundedness of a class of sublinear operators; also see [6,30,31] for more further results.…”

Parametric Marcinkiewicz integrals on weighted Herz Spaces

“…where E is the characteristic function of the set E: In [9], Lu and Yang introduced weighted Herz spaces. Definition 2.…”