The boundedness of multiplier operator is an important topic in harmonic analysis. A well-known problem is the disc conjecture: Define operator T by （Tf）∧= χBn（?）, （?） denotes the Fourier transform of f, χBn ...The boundedness of multiplier operator is an important topic in harmonic analysis. A well-known problem is the disc conjecture: Define operator T by （Tf）∧= χBn（?）, （?） denotes the Fourier transform of f, χBn is the characteristic function of the unit ball in Rn. It is guessed that T is a bounded operator on LP（Rn, dx）, pro-展开更多
文摘The boundedness of multiplier operator is an important topic in harmonic analysis. A well-known problem is the disc conjecture: Define operator T by （Tf）∧= χBn（?）, （?） denotes the Fourier transform of f, χBn is the characteristic function of the unit ball in Rn. It is guessed that T is a bounded operator on LP（Rn, dx）, pro-
