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We derive necessary and sufficient conditions on weights guaranteeing the one-weight Sobolev-type inequality for strong fractional maximal and multiple fractional integral operators in grand mixed norm Lebesgue spaces. As a… Click to show full abstract
We derive necessary and sufficient conditions on weights guaranteeing the one-weight Sobolev-type inequality for strong fractional maximal and multiple fractional integral operators in grand mixed norm Lebesgue spaces. As a consequence, appropriate statements for fractional integral operators defined on regular curves and domains in $${{\mathbb {R}}}^n$$ R n are obtained.
Keywords:
mixed norm;
lebesgue spaces;
grand mixed;
norm lebesgue;
inequality
Journal Title: Positivity
Year Published: 2020
Link to full text (if available)
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Journal Title: Positivity
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!