NORM ESTIMATES OF FRACTIONAL INTEGRAL OPERATORS BY RIESZ TRANSFORM IN WEIGHTED LEBESGUE SPACES
In this thesis we discuss behaviour of fractional integral operators on weighted Lebesgue spaces of exponent 1. First we give a counterexample for the boundedness result of fractional integral operators in weighted Lebesgue spaces of exponent 1. We also prove a norm estimate of fractional integra...
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id-itb.:795772024-01-10T14:20:05ZNORM ESTIMATES OF FRACTIONAL INTEGRAL OPERATORS BY RIESZ TRANSFORM IN WEIGHTED LEBESGUE SPACES Dita Kumala, Mei Indonesia Theses fractional integral operators, fractional maximal operators, Riesz transform, weighted Lebesgue space, Olsen’s inequality. INSTITUT TEKNOLOGI BANDUNG https://digilib.itb.ac.id/gdl/view/79577 In this thesis we discuss behaviour of fractional integral operators on weighted Lebesgue spaces of exponent 1. First we give a counterexample for the boundedness result of fractional integral operators in weighted Lebesgue spaces of exponent 1. We also prove a norm estimate of fractional integral operators by Riesz transform in weighted Lebesgue spaces of exponent 1. As an application, we also establish a similar result for fractional maximal operators and an end-point case of Olsen’s inequalities in weighted Lebesgue spaces. text |
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Institut Teknologi Bandung |
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Indonesia Indonesia |
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Indonesia |
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In this thesis we discuss behaviour of fractional integral operators on weighted
Lebesgue spaces of exponent 1. First we give a counterexample for the boundedness
result of fractional integral operators in weighted Lebesgue spaces of exponent 1.
We also prove a norm estimate of fractional integral operators by Riesz transform
in weighted Lebesgue spaces of exponent 1. As an application, we also establish
a similar result for fractional maximal operators and an end-point case of Olsen’s
inequalities in weighted Lebesgue spaces. |
| format |
Theses |
| author |
Dita Kumala, Mei |
| spellingShingle |
Dita Kumala, Mei NORM ESTIMATES OF FRACTIONAL INTEGRAL OPERATORS BY RIESZ TRANSFORM IN WEIGHTED LEBESGUE SPACES |
| author_facet |
Dita Kumala, Mei |
| author_sort |
Dita Kumala, Mei |
| title |
NORM ESTIMATES OF FRACTIONAL INTEGRAL OPERATORS BY RIESZ TRANSFORM IN WEIGHTED LEBESGUE SPACES |
| title_short |
NORM ESTIMATES OF FRACTIONAL INTEGRAL OPERATORS BY RIESZ TRANSFORM IN WEIGHTED LEBESGUE SPACES |
| title_full |
NORM ESTIMATES OF FRACTIONAL INTEGRAL OPERATORS BY RIESZ TRANSFORM IN WEIGHTED LEBESGUE SPACES |
| title_fullStr |
NORM ESTIMATES OF FRACTIONAL INTEGRAL OPERATORS BY RIESZ TRANSFORM IN WEIGHTED LEBESGUE SPACES |
| title_full_unstemmed |
NORM ESTIMATES OF FRACTIONAL INTEGRAL OPERATORS BY RIESZ TRANSFORM IN WEIGHTED LEBESGUE SPACES |
| title_sort |
norm estimates of fractional integral operators by riesz transform in weighted lebesgue spaces |
| url |
https://digilib.itb.ac.id/gdl/view/79577 |
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1822996360081702912 |