Fourier transform inequalities with measure weights
نویسندگان
چکیده
منابع مشابه
Fourier transform of a Gaussian measure on the Heisenberg group
An explicit formula is derived for the Fourier transform of a Gaussian measure on the Heisenberg group at the Schrödinger representation. Using this explicit formula, necessary and sufficient conditions are given for the convolution of two Gaussian measures to be a Gaussian measure.
متن کاملSobolev and Isoperimetric Inequalities with Monomial Weights
We consider the monomial weight |x1|1 · · · |xn|n in R, where Ai ≥ 0 is a real number for each i = 1, ..., n, and establish Sobolev, isoperimetric, Morrey, and Trudinger inequalities involving this weight. They are the analogue of the classical ones with the Lebesgue measure dx replaced by |x1|1 · · · |xn|ndx, and they contain the best or critical exponent (which depends on A1, ..., An). More i...
متن کاملNotes on Inequalities with Doubling Weights
Various important weighted polynomial inequalities, such as Bernstein, Marcinkiewicz, Nikolskii, Schur, Remez, etc. inequalities, have been proved recently by Giuseppe Mastroianni and Vilmos Totik under minimal assumptions on the weights. In most of the cases this minimal assumption is the doubling condition. Sometimes however, like in the weighted Nikolskii inequality, the slightly stronger A∞...
متن کاملMultidimensional Integral Inequalities with Homogeneous Weights
We give upper and lower bounds estimates for the best constant which appears in a multidimensional integral inequality, in the particular case of homogeneous weights. 2000 Mathematics Subject Classification: 26D15, 26B99
متن کاملFourier Transform
Very broadly speaking, the Fourier transform is a systematic way to decompose “generic” functions into a superposition of “symmetric” functions. These symmetric functions are usually quite explicit (such as a trigonometric function sin(nx) or cos(nx)), and are often associated with physical concepts such as frequency or energy. What “symmetric” means here will be left vague, but it will usually...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 1992
ISSN: 0001-8708
DOI: 10.1016/0001-8708(92)90055-p