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In this paper, we establish $$L^{p}$$Lp estimates for certain class of maximal functions on product domains with rough kernels in $${L^{q}}(\mathbf S ^{n-1}\times \mathbf S ^{m-1})\,(n,m\ge 2).$$Lq(Sn-1×Sm-1)(n,m≥2). These estimates are… Click to show full abstract
In this paper, we establish $$L^{p}$$Lp estimates for certain class of maximal functions on product domains with rough kernels in $${L^{q}}(\mathbf S ^{n-1}\times \mathbf S ^{m-1})\,(n,m\ge 2).$$Lq(Sn-1×Sm-1)(n,m≥2). These estimates are used in an extrapolation argument to obtain some new improved and extended results on maximal functions.
Keywords:
class maximal;
maximal functions;
functions product;
certain class
Journal Title: Analysis and Mathematical Physics
Year Published: 2019
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Journal Title: Analysis and Mathematical Physics
Year Published: 2019
Link to full text (if available)
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recommendations!