Homogenous Fourier multipliers of Marcinkiewicz type

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On the boundedness of the Marcinkiewicz operator on multipliers spaces

Let h(y) be a bounded radial function and Ω (y) an H function on the unit sphere satisfying the cancelation condition. Then the Marcinkiewicz integral operator μΩ related to the Littlewood-Paley g−function is defined by

متن کامل

Maximal Functions Associated with Fourier Multipliers of Mikhlin-hörmander Type

We show that maximal operators formed by dilations of Mikhlin-Hörmander multipliers are typically not bounded on L(R). We also give rather weak conditions in terms of the decay of such multipliers under which L boundedness of the maximal operators holds.

متن کامل

Multipliers of Multidimensional Fourier Algebras

Let G be a locally compact σ-compact group. Motivated by an earlier notion for discrete groups due to Effros and Ruan, we introduce the multidimensional Fourier algebra A(G) of G. We characterise the completely bounded multidimensional multipliers associated with A(G) in several equivalent ways. In particular, we establish a completely isometric embedding of the space of all n-dimensional compl...

متن کامل

Lévy processes and Fourier multipliers

We study Fourier multipliers which result from modulating jumps of Lévy processes. Using the theory of martingale transforms we prove that these operators are bounded in Lp(Rd) for 1 < p < ∞ and we obtain the same explicit bound for their norm as the one known for the second order Riesz transforms.

متن کامل

Stable Sampling and Fourier Multipliers

We study the relationship between stable sampling sequences for bandlimited functions in Lp(Rn) and the Fourier multipliers in Lp. In the case that the sequence is a lattice and the spectrum is a fundamental domain for the lattice the connection is complete. In the case of irregular sequences there is still a partial relationship. 2010 Mathematics Subject Classification: 42A45, 42B15, 42C15, 62...

متن کامل

ذخیره 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: Arkiv för Matematik

سال: 1995

ISSN: 0004-2080

DOI: 10.1007/bf02559605