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Let be the Ariõ-Muckenhoupt weight class which controls the weighted -norm inequalities for the Hardy operator on non-increasing functions. We replace the constant p by a function p(x) and examine the associated -norm inequalities of the Hardy operator.
C. J. Neugebauer. "Weighted variable $L^{p}$ integral inequalities for the maximal operator on non-increasing functions." Studia Mathematica 192.1 (2009): 51-60. <http://eudml.org/doc/284748>.
@article{C2009, abstract = {Let $B_\{p\}$ be the Ariõ-Muckenhoupt weight class which controls the weighted $L^\{p\}$-norm inequalities for the Hardy operator on non-increasing functions. We replace the constant p by a function p(x) and examine the associated $L^\{p(x)\}$-norm inequalities of the Hardy operator.}, author = {C. J. Neugebauer}, journal = {Studia Mathematica}, keywords = {weights; Hardy operator; variable }, language = {eng}, number = {1}, pages = {51-60}, title = {Weighted variable $L^\{p\}$ integral inequalities for the maximal operator on non-increasing functions}, url = {http://eudml.org/doc/284748}, volume = {192}, year = {2009}, }
TY - JOUR AU - C. J. Neugebauer TI - Weighted variable $L^{p}$ integral inequalities for the maximal operator on non-increasing functions JO - Studia Mathematica PY - 2009 VL - 192 IS - 1 SP - 51 EP - 60 AB - Let $B_{p}$ be the Ariõ-Muckenhoupt weight class which controls the weighted $L^{p}$-norm inequalities for the Hardy operator on non-increasing functions. We replace the constant p by a function p(x) and examine the associated $L^{p(x)}$-norm inequalities of the Hardy operator. LA - eng KW - weights; Hardy operator; variable UR - http://eudml.org/doc/284748 ER -